696,312

2³ × 3² × 19 × 509

696,312 factors as 2^3 × 3^2 × 19 × 509. Its 48 positive divisors give a proper-divisor sum of 1,292,688, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,989,000

Proper Divisor Sum 1,292,688

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #696281 ← → #696313

Radix Representation

Decimal	696312
Binary	10101001111111111000 (20 bits)
Octal	0o2517770
Hexadecimal	0xA9FF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 509 684 1,018 1,368 1,527 2,036 3,054 4,072 4,581 6,108 9,162 9,671 12,216 18,324 19,342 29,013 36,648 38,684 58,026 77,368 87,039 116,052 174,078 232,104 348,156 696,312

Collatz Trajectory (136 steps to reach 1)

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

696,312 348,156 174,078 87,039 261,118 130,559 391,678 195,839 587,518 293,759 881,278 440,639 1,321,918 660,959 1,982,878 991,439 2,974,318 1,487,159 4,461,478 2,230,739 6,692,218 3,346,109 10,038,328 5,019,164 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418

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