31,892,165

5 × 19 × 389 × 863

31,892,165 factors as 5 × 19 × 389 × 863. Its 16 positive divisors give a proper-divisor sum of 8,543,035, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 5 × 19 × 389 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,435,200

Proper Divisor Sum 8,543,035

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #31892131 ← → #31892173

Radix Representation

Decimal	31892165
Binary	1111001101010001011000101 (25 bits)
Octal	0o171521305
Hexadecimal	0x1E6A2C5

Divisor Catalog (16)

1 5 19 95 389 863 1,945 4,315 7,391 16,397 36,955 81,985 335,707 1,678,535 6,378,433 31,892,165

Collatz Trajectory (95 steps to reach 1)

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

31,892,165 95,676,496 47,838,248 23,919,124 11,959,562 5,979,781 17,939,344 8,969,672 4,484,836 2,242,418 1,121,209 3,363,628 1,681,814 840,907 2,522,722 1,261,361 3,784,084 1,892,042 946,021 2,838,064 1,419,032 709,516 354,758 177,379 532,138 266,069 798,208 399,104 199,552 99,776 49,888 24,944 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157

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