λ
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13,801,256

23 × 7 × 41 × 6011
Abundant Even Composite

13,801,256 factors as 2^3 × 7 × 41 × 6011. Its 32 positive divisors give a proper-divisor sum of 16,499,224, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 6011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,300,480
Proper Divisor Sum 16,499,224
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13801213 ← → #13801261

Radix Representation

Decimal 13801256
Binary 110100101001011100101000 (24 bits)
Octal 0o64513450
Hexadecimal 0xD29728

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 2,296 6,011 12,022 24,044 42,077 48,088 84,154 168,308 246,451 336,616 492,902 985,804 1,725,157 1,971,608 3,450,314 6,900,628 13,801,256

Collatz Trajectory (148 steps to reach 1)

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

13,801,256 6,900,628 3,450,314 1,725,157 5,175,472 2,587,736 1,293,868 646,934 323,467 970,402 485,201 1,455,604 727,802 363,901 1,091,704 545,852 272,926 136,463 409,390 204,695 614,086 307,043 921,130 460,565 1,381,696 690,848 345,424 172,712 86,356 43,178 21,589 64,768 32,384 16,192 8,096 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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