λ
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Atlas › Integer Profiles › Node 25,572,987

25,572,987

32 × 112 × 23 × 1021
Deficient Odd Composite

25,572,987 factors as 3^2 × 11^2 × 23 × 1021. Its 36 positive divisors give a proper-divisor sum of 16,835,925, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 23 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 42,408,912
Proper Divisor Sum 16,835,925
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #25572961 ← → #25572997

Radix Representation

Decimal 25572987
Binary 1100001100011011001111011 (25 bits)
Octal 0o141433173
Hexadecimal 0x186367B

Divisor Catalog (36)

1 3 9 11 23 33 69 99 121 207 253 363 759 1,021 1,089 2,277 2,783 3,063 8,349 9,189 11,231 23,483 25,047 33,693 70,449 101,079 123,541 211,347 258,313 370,623 774,939 1,111,869 2,324,817 2,841,443 8,524,329 25,572,987

Collatz Trajectory (97 steps to reach 1)

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

25,572,987 76,718,962 38,359,481 115,078,444 57,539,222 28,769,611 86,308,834 43,154,417 129,463,252 64,731,626 32,365,813 97,097,440 48,548,720 24,274,360 12,137,180 6,068,590 3,034,295 9,102,886 4,551,443 13,654,330 6,827,165 20,481,496 10,240,748 5,120,374 2,560,187 7,680,562 3,840,281 11,520,844 5,760,422 2,880,211 8,640,634 4,320,317 12,960,952 6,480,476 3,240,238 1,620,119 4,860,358 2,430,179 7,290,538 3,645,269 10,935,808 5,467,904 2,733,952 1,366,976 683,488 341,744 170,872 85,436 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202

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