24,258,054

2 × 3 × 23 × 175783

24,258,054 factors as 2 × 3 × 23 × 175783. Its 16 positive divisors give a proper-divisor sum of 26,367,738, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 175783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,625,792

Proper Divisor Sum 26,367,738

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #24258043 ← → #24258061

Radix Representation

Decimal	24258054
Binary	1011100100010011000000110 (25 bits)
Octal	0o134423006
Hexadecimal	0x1722606

Divisor Catalog (16)

1 2 3 6 23 46 69 138 175,783 351,566 527,349 1,054,698 4,043,009 8,086,018 12,129,027 24,258,054

Collatz Trajectory (84 steps to reach 1)

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

24,258,054 12,129,027 36,387,082 18,193,541 54,580,624 27,290,312 13,645,156 6,822,578 3,411,289 10,233,868 5,116,934 2,558,467 7,675,402 3,837,701 11,513,104 5,756,552 2,878,276 1,439,138 719,569 2,158,708 1,079,354 539,677 1,619,032 809,516 404,758 202,379 607,138 303,569 910,708 455,354 227,677 683,032 341,516 170,758 85,379 256,138 128,069 384,208 192,104 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713

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