λ
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Atlas › Integer Profiles › Node 11,898,016

11,898,016

25 × 13 × 37 × 773
Abundant Even Composite

11,898,016 factors as 2^5 × 13 × 37 × 773. Its 48 positive divisors give a proper-divisor sum of 14,043,368, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 37 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,941,384
Proper Divisor Sum 14,043,368
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11898013 ← → #11898037

Radix Representation

Decimal 11898016
Binary 101101011000110010100000 (24 bits)
Octal 0o55306240
Hexadecimal 0xB58CA0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 773 962 1,184 1,546 1,924 3,092 3,848 6,184 7,696 10,049 12,368 15,392 20,098 24,736 28,601 40,196 57,202 80,392 114,404 160,784 228,808 321,568 371,813 457,616 743,626 915,232 1,487,252 2,974,504 5,949,008 11,898,016

Collatz Trajectory (140 steps to reach 1)

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

11,898,016 5,949,008 2,974,504 1,487,252 743,626 371,813 1,115,440 557,720 278,860 139,430 69,715 209,146 104,573 313,720 156,860 78,430 39,215 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350

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