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Atlas › Integer Profiles › Node 25,544,288

25,544,288

25 × 72 × 11 × 1481
Abundant Even Composite

25,544,288 factors as 2^5 × 7^2 × 11 × 1481. Its 72 positive divisors give a proper-divisor sum of 38,318,056, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 11 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 63,862,344
Proper Divisor Sum 38,318,056
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #25544287 ← → #25544291

Radix Representation

Decimal 25544288
Binary 1100001011100011001100000 (25 bits)
Octal 0o141343140
Hexadecimal 0x185C660

Divisor Catalog (60 of 72)

1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1,078 1,232 1,481 1,568 2,156 2,464 2,962 4,312 5,924 8,624 10,367 11,848 16,291 17,248 20,734 23,696 32,582 41,468 47,392 65,164 72,569 82,936 114,037 130,328 145,138 165,872 228,074 260,656 290,276 331,744 456,148 521,312

Collatz Trajectory (149 steps to reach 1)

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

25,544,288 12,772,144 6,386,072 3,193,036 1,596,518 798,259 2,394,778 1,197,389 3,592,168 1,796,084 898,042 449,021 1,347,064 673,532 336,766 168,383 505,150 252,575 757,726 378,863 1,136,590 568,295 1,704,886 852,443 2,557,330 1,278,665 3,835,996 1,917,998 958,999 2,876,998 1,438,499 4,315,498 2,157,749 6,473,248 3,236,624 1,618,312 809,156 404,578 202,289 606,868 303,434 151,717 455,152 227,576 113,788 56,894 28,447 85,342 42,671 128,014 64,007 192,022 96,011 288,034 144,017 432,052 216,026 108,013 324,040 162,020

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