9,150,015

3 × 5 × 7² × 59 × 211

9,150,015 factors as 3 × 5 × 7^2 × 59 × 211. Its 48 positive divisors give a proper-divisor sum of 8,250,945, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 59 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,400,960

Proper Divisor Sum 8,250,945

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9149999 ← → #9150019

Radix Representation

Decimal	9150015
Binary	100010111001111000111111 (24 bits)
Octal	0o42717077
Hexadecimal	0x8B9E3F

Divisor Catalog (48)

1 3 5 7 15 21 35 49 59 105 147 177 211 245 295 413 633 735 885 1,055 1,239 1,477 2,065 2,891 3,165 4,431 6,195 7,385 8,673 10,339 12,449 14,455 22,155 31,017 37,347 43,365 51,695 62,245 87,143 155,085 186,735 261,429 435,715 610,001 1,307,145 1,830,003 3,050,005 9,150,015

Collatz Trajectory (243 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,150,015 27,450,046 13,725,023 41,175,070 20,587,535 61,762,606 30,881,303 92,643,910 46,321,955 138,965,866 69,482,933 208,448,800 104,224,400 52,112,200 26,056,100 13,028,050 6,514,025 19,542,076 9,771,038 4,885,519 14,656,558 7,328,279 21,984,838 10,992,419 32,977,258 16,488,629 49,465,888 24,732,944 12,366,472 6,183,236 3,091,618 1,545,809 4,637,428 2,318,714 1,159,357 3,478,072 1,739,036 869,518 434,759 1,304,278 652,139 1,956,418 978,209 2,934,628 1,467,314 733,657 2,200,972 1,100,486 550,243 1,650,730 825,365 2,476,096 1,238,048 619,024 309,512 154,756 77,378 38,689 116,068 58,034

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