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Atlas › Integer Profiles › Node 11,635,206

11,635,206

2 × 3 × 11 × 29 × 6079
Abundant Even Composite

11,635,206 factors as 2 × 3 × 11 × 29 × 6079. Its 32 positive divisors give a proper-divisor sum of 14,630,394, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 29 × 6079
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,265,600
Proper Divisor Sum 14,630,394
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #11635193 ← → #11635207

Radix Representation

Decimal 11635206
Binary 101100011000101000000110 (24 bits)
Octal 0o54305006
Hexadecimal 0xB18A06

Divisor Catalog (32)

1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1,914 6,079 12,158 18,237 36,474 66,869 133,738 176,291 200,607 352,582 401,214 528,873 1,057,746 1,939,201 3,878,402 5,817,603 11,635,206

Collatz Trajectory (171 steps to reach 1)

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

11,635,206 5,817,603 17,452,810 8,726,405 26,179,216 13,089,608 6,544,804 3,272,402 1,636,201 4,908,604 2,454,302 1,227,151 3,681,454 1,840,727 5,522,182 2,761,091 8,283,274 4,141,637 12,424,912 6,212,456 3,106,228 1,553,114 776,557 2,329,672 1,164,836 582,418 291,209 873,628 436,814 218,407 655,222 327,611 982,834 491,417 1,474,252 737,126 368,563 1,105,690 552,845 1,658,536 829,268 414,634 207,317 621,952 310,976 155,488 77,744 38,872 19,436 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302

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