λ
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28,899,136

26 × 7 × 251 × 257
Abundant Even Composite

28,899,136 factors as 2^6 × 7 × 251 × 257. Its 56 positive divisors give a proper-divisor sum of 37,157,120, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 251 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 66,056,256
Proper Divisor Sum 37,157,120
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #28899107 ← → #28899149

Radix Representation

Decimal 28899136
Binary 1101110001111011101000000 (25 bits)
Octal 0o156173500
Hexadecimal 0x1B8F740

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 112 224 251 257 448 502 514 1,004 1,028 1,757 1,799 2,008 2,056 3,514 3,598 4,016 4,112 7,028 7,196 8,032 8,224 14,056 14,392 16,064 16,448 28,112 28,784 56,224 57,568 64,507 112,448 115,136 129,014 258,028 451,549 516,056 903,098 1,032,112 1,806,196 2,064,224 3,612,392 4,128,448 7,224,784 14,449,568 28,899,136

Collatz Trajectory (118 steps to reach 1)

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

28,899,136 14,449,568 7,224,784 3,612,392 1,806,196 903,098 451,549 1,354,648 677,324 338,662 169,331 507,994 253,997 761,992 380,996 190,498 95,249 285,748 142,874 71,437 214,312 107,156 53,578 26,789 80,368 40,184 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

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