7,612,908

2² × 3 × 23 × 27583

7,612,908 factors as 2^2 × 3 × 23 × 27583. Its 24 positive divisors give a proper-divisor sum of 10,923,540, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 27583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,536,448

Proper Divisor Sum 10,923,540

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7612907 ← → #7612909

Radix Representation

Decimal	7612908
Binary	11101000010100111101100 (23 bits)
Octal	0o35024754
Hexadecimal	0x7429EC

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,612,908 3,806,454 1,903,227 5,709,682 2,854,841 8,564,524 4,282,262 2,141,131 6,423,394 3,211,697 9,635,092 4,817,546 2,408,773 7,226,320 3,613,160 1,806,580 903,290 451,645 1,354,936 677,468 338,734 169,367 508,102 254,051 762,154 381,077 1,143,232 571,616 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050

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