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Atlas › Integer Profiles › Node 25,757,792

25,757,792

25 × 23 × 79 × 443
Abundant Even Composite

25,757,792 factors as 2^5 × 23 × 79 × 443. Its 48 positive divisors give a proper-divisor sum of 27,948,448, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 79 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,706,240
Proper Divisor Sum 27,948,448
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #25757791 ← → #25757801

Radix Representation

Decimal 25757792
Binary 1100010010000100001100000 (25 bits)
Octal 0o142204140
Hexadecimal 0x1890860

Divisor Catalog (48)

1 2 4 8 16 23 32 46 79 92 158 184 316 368 443 632 736 886 1,264 1,772 1,817 2,528 3,544 3,634 7,088 7,268 10,189 14,176 14,536 20,378 29,072 34,997 40,756 58,144 69,994 81,512 139,988 163,024 279,976 326,048 559,952 804,931 1,119,904 1,609,862 3,219,724 6,439,448 12,878,896 25,757,792

Collatz Trajectory (167 steps to reach 1)

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

25,757,792 12,878,896 6,439,448 3,219,724 1,609,862 804,931 2,414,794 1,207,397 3,622,192 1,811,096 905,548 452,774 226,387 679,162 339,581 1,018,744 509,372 254,686 127,343 382,030 191,015 573,046 286,523 859,570 429,785 1,289,356 644,678 322,339 967,018 483,509 1,450,528 725,264 362,632 181,316 90,658 45,329 135,988 67,994 33,997 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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