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Atlas › Integer Profiles › Node 25,909,024

25,909,024

25 × 59 × 13723
Abundant Even Composite

25,909,024 factors as 2^5 × 59 × 13723. Its 24 positive divisors give a proper-divisor sum of 25,967,696, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^5 × 59 × 13723
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 51,876,720
Proper Divisor Sum 25,967,696
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25909001 ← → #25909061

Radix Representation

Decimal 25909024
Binary 1100010110101011100100000 (25 bits)
Octal 0o142653440
Hexadecimal 0x18B5720

Divisor Catalog (24)

1 2 4 8 16 32 59 118 236 472 944 1,888 13,723 27,446 54,892 109,784 219,568 439,136 809,657 1,619,314 3,238,628 6,477,256 12,954,512 25,909,024

Collatz Trajectory (66 steps to reach 1)

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

25,909,024 12,954,512 6,477,256 3,238,628 1,619,314 809,657 2,428,972 1,214,486 607,243 1,821,730 910,865 2,732,596 1,366,298 683,149 2,049,448 1,024,724 512,362 256,181 768,544 384,272 192,136 96,068 48,034 24,017 72,052 36,026 18,013 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128

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