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Atlas › Integer Profiles › Node 25,757,032

25,757,032

23 × 7 × 31 × 37 × 401
Abundant Even Composite

25,757,032 factors as 2^3 × 7 × 31 × 37 × 401. Its 64 positive divisors give a proper-divisor sum of 32,902,808, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 37 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 58,659,840
Proper Divisor Sum 32,902,808
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25757029 ← → #25757041

Radix Representation

Decimal 25757032
Binary 1100010010000010101101000 (25 bits)
Octal 0o142202550
Hexadecimal 0x1890568

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 401 434 518 802 868 1,036 1,147 1,604 1,736 2,072 2,294 2,807 3,208 4,588 5,614 8,029 9,176 11,228 12,431 14,837 16,058 22,456 24,862 29,674 32,116 49,724 59,348 64,232 87,017 99,448 103,859 118,696 174,034 207,718 348,068 415,436 459,947 696,136 830,872 919,894 1,839,788 3,219,629

Collatz Trajectory (167 steps to reach 1)

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

25,757,032 12,878,516 6,439,258 3,219,629 9,658,888 4,829,444 2,414,722 1,207,361 3,622,084 1,811,042 905,521 2,716,564 1,358,282 679,141 2,037,424 1,018,712 509,356 254,678 127,339 382,018 191,009 573,028 286,514 143,257 429,772 214,886 107,443 322,330 161,165 483,496 241,748 120,874 60,437 181,312 90,656 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760

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