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Atlas › Integer Profiles › Node 25,755,084

25,755,084

22 × 35 × 26497
Abundant Even Composite

25,755,084 factors as 2^2 × 3^5 × 26497. Its 36 positive divisors give a proper-divisor sum of 41,761,820, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 26497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 67,516,904
Proper Divisor Sum 41,761,820
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25755083 ← → #25755091

Radix Representation

Decimal 25755084
Binary 1100010001111110111001100 (25 bits)
Octal 0o142176714
Hexadecimal 0x188FDCC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 26,497 52,994 79,491 105,988 158,982 238,473 317,964 476,946 715,419 953,892 1,430,838 2,146,257 2,861,676 4,292,514 6,438,771 8,585,028 12,877,542 25,755,084

Collatz Trajectory (123 steps to reach 1)

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

25,755,084 12,877,542 6,438,771 19,316,314 9,658,157 28,974,472 14,487,236 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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