692,691

3 × 23 × 10039

692,691 factors as 3 × 23 × 10039. Its 8 positive divisors give a proper-divisor sum of 271,149, so this integer is deficient. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 3 × 23 × 10039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 963,840

Proper Divisor Sum 271,149

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #692689 ← → #692707

Radix Representation

Decimal	692691
Binary	10101001000111010011 (20 bits)
Octal	0o2510723
Hexadecimal	0xA91D3

Divisor Catalog (8)

1 3 23 69 10,039 30,117 230,897 692,691

Collatz Trajectory (304 steps to reach 1)

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

692,691 2,078,074 1,039,037 3,117,112 1,558,556 779,278 389,639 1,168,918 584,459 1,753,378 876,689 2,630,068 1,315,034 657,517 1,972,552 986,276 493,138 246,569 739,708 369,854 184,927 554,782 277,391 832,174 416,087 1,248,262 624,131 1,872,394 936,197 2,808,592 1,404,296 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365

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