25,683,032

2³ × 37 × 86767

25,683,032 factors as 2^3 × 37 × 86767. Its 16 positive divisors give a proper-divisor sum of 23,774,728, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 86767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 49,457,760

Proper Divisor Sum 23,774,728

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #25683029 ← → #25683071

Radix Representation

Decimal	25683032
Binary	1100001111110010001011000 (25 bits)
Octal	0o141762130
Hexadecimal	0x187E458

Divisor Catalog (16)

1 2 4 8 37 74 148 296 86,767 173,534 347,068 694,136 3,210,379 6,420,758 12,841,516 25,683,032

Collatz Trajectory (242 steps to reach 1)

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

25,683,032 12,841,516 6,420,758 3,210,379 9,631,138 4,815,569 14,446,708 7,223,354 3,611,677 10,835,032 5,417,516 2,708,758 1,354,379 4,063,138 2,031,569 6,094,708 3,047,354 1,523,677 4,571,032 2,285,516 1,142,758 571,379 1,714,138 857,069 2,571,208 1,285,604 642,802 321,401 964,204 482,102 241,051 723,154 361,577 1,084,732 542,366 271,183 813,550 406,775 1,220,326 610,163 1,830,490 915,245 2,745,736 1,372,868 686,434 343,217 1,029,652 514,826 257,413 772,240 386,120 193,060 96,530 48,265 144,796 72,398 36,199 108,598 54,299 162,898

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