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Atlas › Integer Profiles › Node 25,446,640

25,446,640

24 × 5 × 179 × 1777
Abundant Even Composite

25,446,640 factors as 2^4 × 5 × 179 × 1777. Its 40 positive divisors give a proper-divisor sum of 34,080,800, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 179 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 59,527,440
Proper Divisor Sum 34,080,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25446623 ← → #25446649

Radix Representation

Decimal 25446640
Binary 1100001000100100011110000 (25 bits)
Octal 0o141044360
Hexadecimal 0x18448F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 179 358 716 895 1,432 1,777 1,790 2,864 3,554 3,580 7,108 7,160 8,885 14,216 14,320 17,770 28,432 35,540 71,080 142,160 318,083 636,166 1,272,332 1,590,415 2,544,664 3,180,830 5,089,328 6,361,660 12,723,320 25,446,640

Collatz Trajectory (180 steps to reach 1)

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

25,446,640 12,723,320 6,361,660 3,180,830 1,590,415 4,771,246 2,385,623 7,156,870 3,578,435 10,735,306 5,367,653 16,102,960 8,051,480 4,025,740 2,012,870 1,006,435 3,019,306 1,509,653 4,528,960 2,264,480 1,132,240 566,120 283,060 141,530 70,765 212,296 106,148 53,074 26,537 79,612 39,806 19,903 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434

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