λ
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Atlas › Integer Profiles › Node 14,229,016

14,229,016

23 × 37 × 53 × 907
Deficient Even Composite

14,229,016 factors as 2^3 × 37 × 53 × 907. Its 32 positive divisors give a proper-divisor sum of 13,719,224, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 53 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,948,240
Proper Divisor Sum 13,719,224
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14229011 ← → #14229029

Radix Representation

Decimal 14229016
Binary 110110010001111000011000 (24 bits)
Octal 0o66217030
Hexadecimal 0xD91E18

Divisor Catalog (32)

1 2 4 8 37 53 74 106 148 212 296 424 907 1,814 1,961 3,628 3,922 7,256 7,844 15,688 33,559 48,071 67,118 96,142 134,236 192,284 268,472 384,568 1,778,627 3,557,254 7,114,508 14,229,016

Collatz Trajectory (148 steps to reach 1)

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

14,229,016 7,114,508 3,557,254 1,778,627 5,335,882 2,667,941 8,003,824 4,001,912 2,000,956 1,000,478 500,239 1,500,718 750,359 2,251,078 1,125,539 3,376,618 1,688,309 5,064,928 2,532,464 1,266,232 633,116 316,558 158,279 474,838 237,419 712,258 356,129 1,068,388 534,194 267,097 801,292 400,646 200,323 600,970 300,485 901,456 450,728 225,364 112,682 56,341 169,024 84,512 42,256 21,128 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510

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