8,001,613

457 × 17509

8,001,613 factors as 457 × 17509. Its 4 positive divisors give a proper-divisor sum of 17,967, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 457 × 17509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,019,580

Proper Divisor Sum 17,967

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8001607 ← → #8001619

Radix Representation

Decimal	8001613
Binary	11110100001100001001101 (23 bits)
Octal	0o36414115
Hexadecimal	0x7A184D

Divisor Catalog (4)

1 457 17,509 8,001,613

Collatz Trajectory (93 steps to reach 1)

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

8,001,613 24,004,840 12,002,420 6,001,210 3,000,605 9,001,816 4,500,908 2,250,454 1,125,227 3,375,682 1,687,841 5,063,524 2,531,762 1,265,881 3,797,644 1,898,822 949,411 2,848,234 1,424,117 4,272,352 2,136,176 1,068,088 534,044 267,022 133,511 400,534 200,267 600,802 300,401 901,204 450,602 225,301 675,904 337,952 168,976 84,488 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236

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