13,022,572

2² × 47 × 113 × 613

13,022,572 factors as 2^2 × 47 × 113 × 613. Its 24 positive divisors give a proper-divisor sum of 10,496,084, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 113 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,518,656

Proper Divisor Sum 10,496,084

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13022567 ← → #13022587

Radix Representation

Decimal	13022572
Binary	110001101011010101101100 (24 bits)
Octal	0o61532554
Hexadecimal	0xC6B56C

Divisor Catalog (24)

Collatz Trajectory (228 steps to reach 1)

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

13,022,572 6,511,286 3,255,643 9,766,930 4,883,465 14,650,396 7,325,198 3,662,599 10,987,798 5,493,899 16,481,698 8,240,849 24,722,548 12,361,274 6,180,637 18,541,912 9,270,956 4,635,478 2,317,739 6,953,218 3,476,609 10,429,828 5,214,914 2,607,457 7,822,372 3,911,186 1,955,593 5,866,780 2,933,390 1,466,695 4,400,086 2,200,043 6,600,130 3,300,065 9,900,196 4,950,098 2,475,049 7,425,148 3,712,574 1,856,287 5,568,862 2,784,431 8,353,294 4,176,647 12,529,942 6,264,971 18,794,914 9,397,457 28,192,372 14,096,186 7,048,093 21,144,280 10,572,140 5,286,070 2,643,035 7,929,106 3,964,553 11,893,660 5,946,830 2,973,415

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