λ
Math Directory

9,534,483

33 × 7 × 61 × 827
Deficient Odd Composite

9,534,483 factors as 3^3 × 7 × 61 × 827. Its 32 positive divisors give a proper-divisor sum of 6,893,037, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 61 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,427,520
Proper Divisor Sum 6,893,037
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9534479 ← → #9534487

Radix Representation

Decimal 9534483
Binary 100100010111110000010011 (24 bits)
Octal 0o44276023
Hexadecimal 0x917C13

Divisor Catalog (32)

1 3 7 9 21 27 61 63 183 189 427 549 827 1,281 1,647 2,481 3,843 5,789 7,443 11,529 17,367 22,329 50,447 52,101 151,341 156,303 353,129 454,023 1,059,387 1,362,069 3,178,161 9,534,483

Collatz Trajectory (150 steps to reach 1)

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

9,534,483 28,603,450 14,301,725 42,905,176 21,452,588 10,726,294 5,363,147 16,089,442 8,044,721 24,134,164 12,067,082 6,033,541 18,100,624 9,050,312 4,525,156 2,262,578 1,131,289 3,393,868 1,696,934 848,467 2,545,402 1,272,701 3,818,104 1,909,052 954,526 477,263 1,431,790 715,895 2,147,686 1,073,843 3,221,530 1,610,765 4,832,296 2,416,148 1,208,074 604,037 1,812,112 906,056 453,028 226,514 113,257 339,772 169,886 84,943 254,830 127,415 382,246 191,123 573,370 286,685 860,056 430,028 215,014 107,507 322,522 161,261 483,784 241,892 120,946 60,473

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