λ
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Atlas › Integer Profiles › Node 13,838,336

13,838,336

211 × 29 × 233
Abundant Even Composite

13,838,336 factors as 2^11 × 29 × 233. Its 48 positive divisors give a proper-divisor sum of 14,908,564, so this integer is abundant. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2^11 × 29 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,746,900
Proper Divisor Sum 14,908,564
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #13838317 ← → #13838413

Radix Representation

Decimal 13838336
Binary 110100110010100000000000 (24 bits)
Octal 0o64624000
Hexadecimal 0xD32800

Divisor Catalog (48)

1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 512 928 932 1,024 1,856 1,864 2,048 3,712 3,728 6,757 7,424 7,456 13,514 14,848 14,912 27,028 29,696 29,824 54,056 59,392 59,648 108,112 119,296 216,224 238,592 432,448 477,184 864,896 1,729,792 3,459,584 6,919,168 13,838,336

Collatz Trajectory (47 steps to reach 1)

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

13,838,336 6,919,168 3,459,584 1,729,792 864,896 432,448 216,224 108,112 54,056 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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