11,201,008

2⁴ × 7³ × 13 × 157

11,201,008 factors as 2^4 × 7^3 × 13 × 157. Its 80 positive divisors give a proper-divisor sum of 16,227,792, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 13 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 27,428,800

Proper Divisor Sum 16,227,792

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #11200999 ← → #11201017

Radix Representation

Decimal	11201008
Binary	101010101110100111110000 (24 bits)
Octal	0o52564760
Hexadecimal	0xAAE9F0

Divisor Catalog (60 of 80)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 157 182 196 208 314 343 364 392 628 637 686 728 784 1,099 1,256 1,274 1,372 1,456 2,041 2,198 2,512 2,548 2,744 4,082 4,396 4,459 5,096 5,488 7,693 8,164 8,792 8,918 10,192 14,287 15,386 16,328 17,584 17,836 28,574 30,772 32,656 35,672 53,851

Collatz Trajectory (132 steps to reach 1)

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

11,201,008 5,600,504 2,800,252 1,400,126 700,063 2,100,190 1,050,095 3,150,286 1,575,143 4,725,430 2,362,715 7,088,146 3,544,073 10,632,220 5,316,110 2,658,055 7,974,166 3,987,083 11,961,250 5,980,625 17,941,876 8,970,938 4,485,469 13,456,408 6,728,204 3,364,102 1,682,051 5,046,154 2,523,077 7,569,232 3,784,616 1,892,308 946,154 473,077 1,419,232 709,616 354,808 177,404 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262

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