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Atlas › Integer Profiles › Node 11,635,264

11,635,264

26 × 29 × 6269
Abundant Even Composite

11,635,264 factors as 2^6 × 29 × 6269. Its 28 positive divisors give a proper-divisor sum of 12,253,436, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 6269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 23,888,700
Proper Divisor Sum 12,253,436
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11635229 ← → #11635297

Radix Representation

Decimal 11635264
Binary 101100011000101001000000 (24 bits)
Octal 0o54305100
Hexadecimal 0xB18A40

Divisor Catalog (28)

1 2 4 8 16 29 32 58 64 116 232 464 928 1,856 6,269 12,538 25,076 50,152 100,304 181,801 200,608 363,602 401,216 727,204 1,454,408 2,908,816 5,817,632 11,635,264

Collatz Trajectory (153 steps to reach 1)

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

11,635,264 5,817,632 2,908,816 1,454,408 727,204 363,602 181,801 545,404 272,702 136,351 409,054 204,527 613,582 306,791 920,374 460,187 1,380,562 690,281 2,070,844 1,035,422 517,711 1,553,134 776,567 2,329,702 1,164,851 3,494,554 1,747,277 5,241,832 2,620,916 1,310,458 655,229 1,965,688 982,844 491,422 245,711 737,134 368,567 1,105,702 552,851 1,658,554 829,277 2,487,832 1,243,916 621,958 310,979 932,938 466,469 1,399,408 699,704 349,852 174,926 87,463 262,390 131,195 393,586 196,793 590,380 295,190 147,595 442,786

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