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Atlas › Integer Profiles › Node 13,620,568

13,620,568

23 × 13 × 19 × 61 × 113
Abundant Even Composite

13,620,568 factors as 2^3 × 13 × 19 × 61 × 113. Its 64 positive divisors give a proper-divisor sum of 16,065,032, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 61 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 29,685,600
Proper Divisor Sum 16,065,032
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13620533 ← → #13620571

Radix Representation

Decimal 13620568
Binary 110011111101010101011000 (24 bits)
Octal 0o63752530
Hexadecimal 0xCFD558

Divisor Catalog (60 of 64)

1 2 4 8 13 19 26 38 52 61 76 104 113 122 152 226 244 247 452 488 494 793 904 988 1,159 1,469 1,586 1,976 2,147 2,318 2,938 3,172 4,294 4,636 5,876 6,344 6,893 8,588 9,272 11,752 13,786 15,067 17,176 27,572 27,911 30,134 55,144 55,822 60,268 89,609 111,644 120,536 130,967 179,218 223,288 261,934 358,436 523,868 716,872 1,047,736

Collatz Trajectory (223 steps to reach 1)

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

13,620,568 6,810,284 3,405,142 1,702,571 5,107,714 2,553,857 7,661,572 3,830,786 1,915,393 5,746,180 2,873,090 1,436,545 4,309,636 2,154,818 1,077,409 3,232,228 1,616,114 808,057 2,424,172 1,212,086 606,043 1,818,130 909,065 2,727,196 1,363,598 681,799 2,045,398 1,022,699 3,068,098 1,534,049 4,602,148 2,301,074 1,150,537 3,451,612 1,725,806 862,903 2,588,710 1,294,355 3,883,066 1,941,533 5,824,600 2,912,300 1,456,150 728,075 2,184,226 1,092,113 3,276,340 1,638,170 819,085 2,457,256 1,228,628 614,314 307,157 921,472 460,736 230,368 115,184 57,592 28,796 14,398

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