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Atlas › Integer Profiles › Node 17,200,716

17,200,716

22 × 3 × 13 × 110261
Abundant Even Composite

17,200,716 factors as 2^2 × 3 × 13 × 110261. Its 24 positive divisors give a proper-divisor sum of 26,021,988, so this integer is abundant. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 110261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 43,222,704
Proper Divisor Sum 26,021,988
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17200699 ← → #17200723

Radix Representation

Decimal 17200716
Binary 1000001100111011001001100 (25 bits)
Octal 0o101473114
Hexadecimal 0x106764C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 110,261 220,522 330,783 441,044 661,566 1,323,132 1,433,393 2,866,786 4,300,179 5,733,572 8,600,358 17,200,716

Collatz Trajectory (262 steps to reach 1)

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

17,200,716 8,600,358 4,300,179 12,900,538 6,450,269 19,350,808 9,675,404 4,837,702 2,418,851 7,256,554 3,628,277 10,884,832 5,442,416 2,721,208 1,360,604 680,302 340,151 1,020,454 510,227 1,530,682 765,341 2,296,024 1,148,012 574,006 287,003 861,010 430,505 1,291,516 645,758 322,879 968,638 484,319 1,452,958 726,479 2,179,438 1,089,719 3,269,158 1,634,579 4,903,738 2,451,869 7,355,608 3,677,804 1,838,902 919,451 2,758,354 1,379,177 4,137,532 2,068,766 1,034,383 3,103,150 1,551,575 4,654,726 2,327,363 6,982,090 3,491,045 10,473,136 5,236,568 2,618,284 1,309,142 654,571

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