λ
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Atlas › Integer Profiles › Node 11,689,336

11,689,336

23 × 17 × 23 × 37 × 101
Abundant Even Composite

11,689,336 factors as 2^3 × 17 × 23 × 37 × 101. Its 64 positive divisors give a proper-divisor sum of 13,427,144, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 23 × 37 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,116,480
Proper Divisor Sum 13,427,144
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #11689303 ← → #11689339

Radix Representation

Decimal 11689336
Binary 101100100101110101111000 (24 bits)
Octal 0o54456570
Hexadecimal 0xB25D78

Divisor Catalog (60 of 64)

1 2 4 8 17 23 34 37 46 68 74 92 101 136 148 184 202 296 391 404 629 782 808 851 1,258 1,564 1,702 1,717 2,323 2,516 3,128 3,404 3,434 3,737 4,646 5,032 6,808 6,868 7,474 9,292 13,736 14,467 14,948 18,584 28,934 29,896 39,491 57,868 63,529 78,982 85,951 115,736 127,058 157,964 171,902 254,116 315,928 343,804 508,232 687,608

Collatz Trajectory (91 steps to reach 1)

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

11,689,336 5,844,668 2,922,334 1,461,167 4,383,502 2,191,751 6,575,254 3,287,627 9,862,882 4,931,441 14,794,324 7,397,162 3,698,581 11,095,744 5,547,872 2,773,936 1,386,968 693,484 346,742 173,371 520,114 260,057 780,172 390,086 195,043 585,130 292,565 877,696 438,848 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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