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Atlas › Integer Profiles › Node 24,505,136

24,505,136

24 × 19 × 149 × 541
Abundant Even Composite

24,505,136 factors as 2^4 × 19 × 149 × 541. Its 40 positive divisors give a proper-divisor sum of 25,900,864, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 149 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 50,406,000
Proper Divisor Sum 25,900,864
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #24505111 ← → #24505139

Radix Representation

Decimal 24505136
Binary 1011101011110101100110000 (25 bits)
Octal 0o135365460
Hexadecimal 0x175EB30

Divisor Catalog (40)

1 2 4 8 16 19 38 76 149 152 298 304 541 596 1,082 1,192 2,164 2,384 2,831 4,328 5,662 8,656 10,279 11,324 20,558 22,648 41,116 45,296 80,609 82,232 161,218 164,464 322,436 644,872 1,289,744 1,531,571 3,063,142 6,126,284 12,252,568 24,505,136

Collatz Trajectory (229 steps to reach 1)

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

24,505,136 12,252,568 6,126,284 3,063,142 1,531,571 4,594,714 2,297,357 6,892,072 3,446,036 1,723,018 861,509 2,584,528 1,292,264 646,132 323,066 161,533 484,600 242,300 121,150 60,575 181,726 90,863 272,590 136,295 408,886 204,443 613,330 306,665 919,996 459,998 229,999 689,998 344,999 1,034,998 517,499 1,552,498 776,249 2,328,748 1,164,374 582,187 1,746,562 873,281 2,619,844 1,309,922 654,961 1,964,884 982,442 491,221 1,473,664 736,832 368,416 184,208 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906

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