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Atlas › Integer Profiles › Node 25,453,024

25,453,024

25 × 113 × 7039
Deficient Even Composite

25,453,024 factors as 2^5 × 113 × 7039. Its 24 positive divisors give a proper-divisor sum of 25,108,256, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 113 × 7039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 50,561,280
Proper Divisor Sum 25,108,256
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #25453009 ← → #25453037

Radix Representation

Decimal 25453024
Binary 1100001000110000111100000 (25 bits)
Octal 0o141060740
Hexadecimal 0x18461E0

Divisor Catalog (24)

1 2 4 8 16 32 113 226 452 904 1,808 3,616 7,039 14,078 28,156 56,312 112,624 225,248 795,407 1,590,814 3,181,628 6,363,256 12,726,512 25,453,024

Collatz Trajectory (167 steps to reach 1)

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

25,453,024 12,726,512 6,363,256 3,181,628 1,590,814 795,407 2,386,222 1,193,111 3,579,334 1,789,667 5,369,002 2,684,501 8,053,504 4,026,752 2,013,376 1,006,688 503,344 251,672 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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