9,733,731

3 × 7 × 463511

9,733,731 factors as 3 × 7 × 463511. Its 8 positive divisors give a proper-divisor sum of 5,098,653, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 7 × 463511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,832,384

Proper Divisor Sum 5,098,653

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9733729 ← → #9733733

Radix Representation

Decimal	9733731
Binary	100101001000011001100011 (24 bits)
Octal	0o45103143
Hexadecimal	0x948663

Divisor Catalog (8)

1 3 7 21 463,511 1,390,533 3,244,577 9,733,731

Collatz Trajectory (145 steps to reach 1)

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

9,733,731 29,201,194 14,600,597 43,801,792 21,900,896 10,950,448 5,475,224 2,737,612 1,368,806 684,403 2,053,210 1,026,605 3,079,816 1,539,908 769,954 384,977 1,154,932 577,466 288,733 866,200 433,100 216,550 108,275 324,826 162,413 487,240 243,620 121,810 60,905 182,716 91,358 45,679 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739

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