24,217,928

2³ × 7 × 17 × 25439

24,217,928 factors as 2^3 × 7 × 17 × 25439. Its 32 positive divisors give a proper-divisor sum of 30,732,472, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 25439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 54,950,400

Proper Divisor Sum 30,732,472

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #24217927 ← → #24217933

Radix Representation

Decimal	24217928
Binary	1011100011000100101001000 (25 bits)
Octal	0o134304510
Hexadecimal	0x1718948

Divisor Catalog (32)

Collatz Trajectory (136 steps to reach 1)

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

24,217,928 12,108,964 6,054,482 3,027,241 9,081,724 4,540,862 2,270,431 6,811,294 3,405,647 10,216,942 5,108,471 15,325,414 7,662,707 22,988,122 11,494,061 34,482,184 17,241,092 8,620,546 4,310,273 12,930,820 6,465,410 3,232,705 9,698,116 4,849,058 2,424,529 7,273,588 3,636,794 1,818,397 5,455,192 2,727,596 1,363,798 681,899 2,045,698 1,022,849 3,068,548 1,534,274 767,137 2,301,412 1,150,706 575,353 1,726,060 863,030 431,515 1,294,546 647,273 1,941,820 970,910 485,455 1,456,366 728,183 2,184,550 1,092,275 3,276,826 1,638,413 4,915,240 2,457,620 1,228,810 614,405 1,843,216 921,608

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