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Atlas › Integer Profiles › Node 25,755,080

25,755,080

23 × 5 × 13 × 49529
Abundant Even Composite

25,755,080 factors as 2^3 × 5 × 13 × 49529. Its 32 positive divisors give a proper-divisor sum of 36,652,720, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 49529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,407,800
Proper Divisor Sum 36,652,720
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #25755077 ← → #25755083

Radix Representation

Decimal 25755080
Binary 1100010001111110111001000 (25 bits)
Octal 0o142176710
Hexadecimal 0x188FDC8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 49,529 99,058 198,116 247,645 396,232 495,290 643,877 990,580 1,287,754 1,981,160 2,575,508 3,219,385 5,151,016 6,438,770 12,877,540 25,755,080

Collatz Trajectory (123 steps to reach 1)

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

25,755,080 12,877,540 6,438,770 3,219,385 9,658,156 4,829,078 2,414,539 7,243,618 3,621,809 10,865,428 5,432,714 2,716,357 8,149,072 4,074,536 2,037,268 1,018,634 509,317 1,527,952 763,976 381,988 190,994 95,497 286,492 143,246 71,623 214,870 107,435 322,306 161,153 483,460 241,730 120,865 362,596 181,298 90,649 271,948 135,974 67,987 203,962 101,981 305,944 152,972 76,486 38,243 114,730 57,365 172,096 86,048 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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