λ
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Atlas › Integer Profiles › Node 24,251,100

24,251,100

22 × 3 × 52 × 229 × 353
Abundant Even Composite

24,251,100 factors as 2^2 × 3 × 5^2 × 229 × 353. Its 72 positive divisors give a proper-divisor sum of 46,421,460, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 229 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 70,672,560
Proper Divisor Sum 46,421,460
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #24251093 ← → #24251137

Radix Representation

Decimal 24251100
Binary 1011100100000101011011100 (25 bits)
Octal 0o134405334
Hexadecimal 0x1720ADC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 353 458 687 706 916 1,059 1,145 1,374 1,412 1,765 2,118 2,290 2,748 3,435 3,530 4,236 4,580 5,295 5,725 6,870 7,060 8,825 10,590 11,450 13,740 17,175 17,650 21,180 22,900 26,475 34,350 35,300 52,950 68,700 80,837 105,900 161,674 242,511 323,348 404,185 485,022

Collatz Trajectory (221 steps to reach 1)

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

24,251,100 12,125,550 6,062,775 18,188,326 9,094,163 27,282,490 13,641,245 40,923,736 20,461,868 10,230,934 5,115,467 15,346,402 7,673,201 23,019,604 11,509,802 5,754,901 17,264,704 8,632,352 4,316,176 2,158,088 1,079,044 539,522 269,761 809,284 404,642 202,321 606,964 303,482 151,741 455,224 227,612 113,806 56,903 170,710 85,355 256,066 128,033 384,100 192,050 96,025 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912

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