9,075,348

2² × 3³ × 17 × 4943

9,075,348 factors as 2^2 × 3^3 × 17 × 4943. Its 48 positive divisors give a proper-divisor sum of 15,842,412, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 4943

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,917,760

Proper Divisor Sum 15,842,412

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9075329 ← → #9075359

Radix Representation

Decimal	9075348
Binary	100010100111101010010100 (24 bits)
Octal	0o42475224
Hexadecimal	0x8A7A94

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,836 4,943 9,886 14,829 19,772 29,658 44,487 59,316 84,031 88,974 133,461 168,062 177,948 252,093 266,922 336,124 504,186 533,844 756,279 1,008,372 1,512,558 2,268,837 3,025,116 4,537,674 9,075,348

Collatz Trajectory (181 steps to reach 1)

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

9,075,348 4,537,674 2,268,837 6,806,512 3,403,256 1,701,628 850,814 425,407 1,276,222 638,111 1,914,334 957,167 2,871,502 1,435,751 4,307,254 2,153,627 6,460,882 3,230,441 9,691,324 4,845,662 2,422,831 7,268,494 3,634,247 10,902,742 5,451,371 16,354,114 8,177,057 24,531,172 12,265,586 6,132,793 18,398,380 9,199,190 4,599,595 13,798,786 6,899,393 20,698,180 10,349,090 5,174,545 15,523,636 7,761,818 3,880,909 11,642,728 5,821,364 2,910,682 1,455,341 4,366,024 2,183,012 1,091,506 545,753 1,637,260 818,630 409,315 1,227,946 613,973 1,841,920 920,960 460,480 230,240 115,120 57,560

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