λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,613,628

13,613,628

22 × 3 × 7 × 43 × 3769
Abundant Even Composite

13,613,628 factors as 2^2 × 3 × 7 × 43 × 3769. Its 48 positive divisors give a proper-divisor sum of 23,543,492, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 43 × 3769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,157,120
Proper Divisor Sum 23,543,492
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13613623 ← → #13613647

Radix Representation

Decimal 13613628
Binary 110011111011101000111100 (24 bits)
Octal 0o63735074
Hexadecimal 0xCFBA3C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1,204 1,806 3,612 3,769 7,538 11,307 15,076 22,614 26,383 45,228 52,766 79,149 105,532 158,298 162,067 316,596 324,134 486,201 648,268 972,402 1,134,469 1,944,804 2,268,938 3,403,407 4,537,876 6,806,814 13,613,628

Collatz Trajectory (130 steps to reach 1)

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

13,613,628 6,806,814 3,403,407 10,210,222 5,105,111 15,315,334 7,657,667 22,973,002 11,486,501 34,459,504 17,229,752 8,614,876 4,307,438 2,153,719 6,461,158 3,230,579 9,691,738 4,845,869 14,537,608 7,268,804 3,634,402 1,817,201 5,451,604 2,725,802 1,362,901 4,088,704 2,044,352 1,022,176 511,088 255,544 127,772 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,613,627 Browse Full Index Next Integer #13,613,629 →