31,652,248

2³ × 1609 × 2459

31,652,248 factors as 2^3 × 1609 × 2459. Its 16 positive divisors give a proper-divisor sum of 27,756,752, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 1609 × 2459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,409,000

Proper Divisor Sum 27,756,752

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31652239 ← → #31652263

Radix Representation

Decimal	31652248
Binary	1111000101111100110011000 (25 bits)
Octal	0o170574630
Hexadecimal	0x1E2F998

Divisor Catalog (16)

1 2 4 8 1,609 2,459 3,218 4,918 6,436 9,836 12,872 19,672 3,956,531 7,913,062 15,826,124 31,652,248

Collatz Trajectory (100 steps to reach 1)

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

31,652,248 15,826,124 7,913,062 3,956,531 11,869,594 5,934,797 17,804,392 8,902,196 4,451,098 2,225,549 6,676,648 3,338,324 1,669,162 834,581 2,503,744 1,251,872 625,936 312,968 156,484 78,242 39,121 117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466

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