7,612,892

2² × 7 × 43 × 6323

7,612,892 factors as 2^2 × 7 × 43 × 6323. Its 24 positive divisors give a proper-divisor sum of 7,969,444, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 6323

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,582,336

Proper Divisor Sum 7,969,444

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7612883 ← → #7612897

Radix Representation

Decimal	7612892
Binary	11101000010100111011100 (23 bits)
Octal	0o35024734
Hexadecimal	0x7429DC

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

7,612,892 3,806,446 1,903,223 5,709,670 2,854,835 8,564,506 4,282,253 12,846,760 6,423,380 3,211,690 1,605,845 4,817,536 2,408,768 1,204,384 602,192 301,096 150,548 75,274 37,637 112,912 56,456 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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