24,364,720

2⁴ × 5 × 304559

24,364,720 factors as 2^4 × 5 × 304559. Its 20 positive divisors give a proper-divisor sum of 32,283,440, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 304559

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 56,648,160

Proper Divisor Sum 32,283,440

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #24364709 ← → #24364771

Radix Representation

Decimal	24364720
Binary	1011100111100011010110000 (25 bits)
Octal	0o134743260
Hexadecimal	0x173C6B0

Divisor Catalog (20)

Collatz Trajectory (242 steps to reach 1)

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

24,364,720 12,182,360 6,091,180 3,045,590 1,522,795 4,568,386 2,284,193 6,852,580 3,426,290 1,713,145 5,139,436 2,569,718 1,284,859 3,854,578 1,927,289 5,781,868 2,890,934 1,445,467 4,336,402 2,168,201 6,504,604 3,252,302 1,626,151 4,878,454 2,439,227 7,317,682 3,658,841 10,976,524 5,488,262 2,744,131 8,232,394 4,116,197 12,348,592 6,174,296 3,087,148 1,543,574 771,787 2,315,362 1,157,681 3,473,044 1,736,522 868,261 2,604,784 1,302,392 651,196 325,598 162,799 488,398 244,199 732,598 366,299 1,098,898 549,449 1,648,348 824,174 412,087 1,236,262 618,131 1,854,394 927,197

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