4,565,008

2⁴ × 7 × 40759

4,565,008 factors as 2^4 × 7 × 40759. Its 20 positive divisors give a proper-divisor sum of 5,543,472, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 40759

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,108,480

Proper Divisor Sum 5,543,472

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4565003 ← → #4565039

Radix Representation

Decimal	4565008
Binary	10001011010100000010000 (23 bits)
Octal	0o21324020
Hexadecimal	0x45A810

Divisor Catalog (20)

Collatz Trajectory (167 steps to reach 1)

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

4,565,008 2,282,504 1,141,252 570,626 285,313 855,940 427,970 213,985 641,956 320,978 160,489 481,468 240,734 120,367 361,102 180,551 541,654 270,827 812,482 406,241 1,218,724 609,362 304,681 914,044 457,022 228,511 685,534 342,767 1,028,302 514,151 1,542,454 771,227 2,313,682 1,156,841 3,470,524 1,735,262 867,631 2,602,894 1,301,447 3,904,342 1,952,171 5,856,514 2,928,257 8,784,772 4,392,386 2,196,193 6,588,580 3,294,290 1,647,145 4,941,436 2,470,718 1,235,359 3,706,078 1,853,039 5,559,118 2,779,559 8,338,678 4,169,339 12,508,018 6,254,009

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