4,516,408

2³ × 13 × 43427

4,516,408 factors as 2^3 × 13 × 43427. Its 16 positive divisors give a proper-divisor sum of 4,603,472, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 43427

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,119,880

Proper Divisor Sum 4,603,472

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4516399 ← → #4516411

Radix Representation

Decimal	4516408
Binary	10001001110101000111000 (23 bits)
Octal	0o21165070
Hexadecimal	0x44EA38

Divisor Catalog (16)

1 2 4 8 13 26 52 104 43,427 86,854 173,708 347,416 564,551 1,129,102 2,258,204 4,516,408

Collatz Trajectory (180 steps to reach 1)

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

4,516,408 2,258,204 1,129,102 564,551 1,693,654 846,827 2,540,482 1,270,241 3,810,724 1,905,362 952,681 2,858,044 1,429,022 714,511 2,143,534 1,071,767 3,215,302 1,607,651 4,822,954 2,411,477 7,234,432 3,617,216 1,808,608 904,304 452,152 226,076 113,038 56,519 169,558 84,779 254,338 127,169 381,508 190,754 95,377 286,132 143,066 71,533 214,600 107,300 53,650 26,825 80,476 40,238 20,119 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796

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