23,288,584

2³ × 11 × 264643

23,288,584 factors as 2^3 × 11 × 264643. Its 16 positive divisors give a proper-divisor sum of 24,347,336, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 264643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,635,920

Proper Divisor Sum 24,347,336

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #23288567 ← → #23288593

Radix Representation

Decimal	23288584
Binary	1011000110101101100001000 (25 bits)
Octal	0o130655410
Hexadecimal	0x1635B08

Divisor Catalog (16)

1 2 4 8 11 22 44 88 264,643 529,286 1,058,572 2,117,144 2,911,073 5,822,146 11,644,292 23,288,584

Collatz Trajectory (216 steps to reach 1)

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

23,288,584 11,644,292 5,822,146 2,911,073 8,733,220 4,366,610 2,183,305 6,549,916 3,274,958 1,637,479 4,912,438 2,456,219 7,368,658 3,684,329 11,052,988 5,526,494 2,763,247 8,289,742 4,144,871 12,434,614 6,217,307 18,651,922 9,325,961 27,977,884 13,988,942 6,994,471 20,983,414 10,491,707 31,475,122 15,737,561 47,212,684 23,606,342 11,803,171 35,409,514 17,704,757 53,114,272 26,557,136 13,278,568 6,639,284 3,319,642 1,659,821 4,979,464 2,489,732 1,244,866 622,433 1,867,300 933,650 466,825 1,400,476 700,238 350,119 1,050,358 525,179 1,575,538 787,769 2,363,308 1,181,654 590,827 1,772,482 886,241

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