692,872

2³ × 257 × 337

692,872 factors as 2^3 × 257 × 337. Its 16 positive divisors give a proper-divisor sum of 615,188, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 257 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,308,060

Proper Divisor Sum 615,188

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #692863 ← → #692893

Radix Representation

Decimal	692872
Binary	10101001001010001000 (20 bits)
Octal	0o2511210
Hexadecimal	0xA9288

Divisor Catalog (16)

1 2 4 8 257 337 514 674 1,028 1,348 2,056 2,696 86,609 173,218 346,436 692,872

Collatz Trajectory (92 steps to reach 1)

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

692,872 346,436 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718 24,359 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396

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