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Atlas › Integer Profiles › Node 24,282,996

24,282,996

22 × 3 × 797 × 2539
Abundant Even Composite

24,282,996 factors as 2^2 × 3 × 797 × 2539. Its 24 positive divisors give a proper-divisor sum of 32,470,764, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 797 × 2539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,753,760
Proper Divisor Sum 32,470,764
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #24282991 ← → #24283001

Radix Representation

Decimal 24282996
Binary 1011100101000011101110100 (25 bits)
Octal 0o134503564
Hexadecimal 0x1728774

Divisor Catalog (24)

1 2 3 4 6 12 797 1,594 2,391 2,539 3,188 4,782 5,078 7,617 9,564 10,156 15,234 30,468 2,023,583 4,047,166 6,070,749 8,094,332 12,141,498 24,282,996

Collatz Trajectory (110 steps to reach 1)

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

24,282,996 12,141,498 6,070,749 18,212,248 9,106,124 4,553,062 2,276,531 6,829,594 3,414,797 10,244,392 5,122,196 2,561,098 1,280,549 3,841,648 1,920,824 960,412 480,206 240,103 720,310 360,155 1,080,466 540,233 1,620,700 810,350 405,175 1,215,526 607,763 1,823,290 911,645 2,734,936 1,367,468 683,734 341,867 1,025,602 512,801 1,538,404 769,202 384,601 1,153,804 576,902 288,451 865,354 432,677 1,298,032 649,016 324,508 162,254 81,127 243,382 121,691 365,074 182,537 547,612 273,806 136,903 410,710 205,355 616,066 308,033 924,100

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