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Atlas › Integer Profiles › Node 11,601,642

11,601,642

2 × 3 × 13 × 59 × 2521
Abundant Even Composite

11,601,642 factors as 2 × 3 × 13 × 59 × 2521. Its 32 positive divisors give a proper-divisor sum of 13,820,118, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 59 × 2521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,421,760
Proper Divisor Sum 13,820,118
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11601641 ← → #11601643

Radix Representation

Decimal 11601642
Binary 101100010000011011101010 (24 bits)
Octal 0o54203352
Hexadecimal 0xB106EA

Divisor Catalog (32)

1 2 3 6 13 26 39 59 78 118 177 354 767 1,534 2,301 2,521 4,602 5,042 7,563 15,126 32,773 65,546 98,319 148,739 196,638 297,478 446,217 892,434 1,933,607 3,867,214 5,800,821 11,601,642

Collatz Trajectory (184 steps to reach 1)

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

11,601,642 5,800,821 17,402,464 8,701,232 4,350,616 2,175,308 1,087,654 543,827 1,631,482 815,741 2,447,224 1,223,612 611,806 305,903 917,710 458,855 1,376,566 688,283 2,064,850 1,032,425 3,097,276 1,548,638 774,319 2,322,958 1,161,479 3,484,438 1,742,219 5,226,658 2,613,329 7,839,988 3,919,994 1,959,997 5,879,992 2,939,996 1,469,998 734,999 2,204,998 1,102,499 3,307,498 1,653,749 4,961,248 2,480,624 1,240,312 620,156 310,078 155,039 465,118 232,559 697,678 348,839 1,046,518 523,259 1,569,778 784,889 2,354,668 1,177,334 588,667 1,766,002 883,001 2,649,004

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