692,937

3² × 7 × 17 × 647

692,937 factors as 3^2 × 7 × 17 × 647. Its 24 positive divisors give a proper-divisor sum of 520,119, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,213,056

Proper Divisor Sum 520,119

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #692933 ← → #692957

Radix Representation

Decimal	692937
Binary	10101001001011001001 (20 bits)
Octal	0o2511311
Hexadecimal	0xA92C9

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

692,937 2,078,812 1,039,406 519,703 1,559,110 779,555 2,338,666 1,169,333 3,508,000 1,754,000 877,000 438,500 219,250 109,625 328,876 164,438 82,219 246,658 123,329 369,988 184,994 92,497 277,492 138,746 69,373 208,120 104,060 52,030 26,015 78,046 39,023 117,070 58,535 175,606 87,803 263,410 131,705 395,116 197,558 98,779 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744 26,372

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