4,623,648

2⁵ × 3 × 48163

4,623,648 factors as 2^5 × 3 × 48163. Its 24 positive divisors give a proper-divisor sum of 7,513,680, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 48163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,137,328

Proper Divisor Sum 7,513,680

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4623629 ← → #4623649

Radix Representation

Decimal	4623648
Binary	10001101000110100100000 (23 bits)
Octal	0o21506440
Hexadecimal	0x468D20

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

4,623,648 2,311,824 1,155,912 577,956 288,978 144,489 433,468 216,734 108,367 325,102 162,551 487,654 243,827 731,482 365,741 1,097,224 548,612 274,306 137,153 411,460 205,730 102,865 308,596 154,298 77,149 231,448 115,724 57,862 28,931 86,794 43,397 130,192 65,096 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815

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