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Atlas › Integer Profiles › Node 14,530,160

14,530,160

24 × 5 × 29 × 6263
Abundant Even Composite

14,530,160 factors as 2^4 × 5 × 29 × 6263. Its 40 positive divisors give a proper-divisor sum of 20,422,960, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 6263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,953,120
Proper Divisor Sum 20,422,960
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #14530157 ← → #14530171

Radix Representation

Decimal 14530160
Binary 110111011011011001110000 (24 bits)
Octal 0o67333160
Hexadecimal 0xDDB670

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 2,320 6,263 12,526 25,052 31,315 50,104 62,630 100,208 125,260 181,627 250,520 363,254 501,040 726,508 908,135 1,453,016 1,816,270 2,906,032 3,632,540 7,265,080 14,530,160

Collatz Trajectory (236 steps to reach 1)

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

14,530,160 7,265,080 3,632,540 1,816,270 908,135 2,724,406 1,362,203 4,086,610 2,043,305 6,129,916 3,064,958 1,532,479 4,597,438 2,298,719 6,896,158 3,448,079 10,344,238 5,172,119 15,516,358 7,758,179 23,274,538 11,637,269 34,911,808 17,455,904 8,727,952 4,363,976 2,181,988 1,090,994 545,497 1,636,492 818,246 409,123 1,227,370 613,685 1,841,056 920,528 460,264 230,132 115,066 57,533 172,600 86,300 43,150 21,575 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164

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