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Atlas › Integer Profiles › Node 64,409,264

64,409,264

24 × 139 × 28961
Deficient Even Composite

64,409,264 factors as 2^4 × 139 × 28961. Its 20 positive divisors give a proper-divisor sum of 61,285,816, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 139 × 28961
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 125,695,080
Proper Divisor Sum 61,285,816
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #64409263 ← → #64409309

Radix Representation

Decimal 64409264
Binary 11110101101100111010110000 (26 bits)
Octal 0o365547260
Hexadecimal 0x3D6CEB0

Divisor Catalog (20)

1 2 4 8 16 139 278 556 1,112 2,224 28,961 57,922 115,844 231,688 463,376 4,025,579 8,051,158 16,102,316 32,204,632 64,409,264

Collatz Trajectory (176 steps to reach 1)

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

64,409,264 32,204,632 16,102,316 8,051,158 4,025,579 12,076,738 6,038,369 18,115,108 9,057,554 4,528,777 13,586,332 6,793,166 3,396,583 10,189,750 5,094,875 15,284,626 7,642,313 22,926,940 11,463,470 5,731,735 17,195,206 8,597,603 25,792,810 12,896,405 38,689,216 19,344,608 9,672,304 4,836,152 2,418,076 1,209,038 604,519 1,813,558 906,779 2,720,338 1,360,169 4,080,508 2,040,254 1,020,127 3,060,382 1,530,191 4,590,574 2,295,287 6,885,862 3,442,931 10,328,794 5,164,397 15,493,192 7,746,596 3,873,298 1,936,649 5,809,948 2,904,974 1,452,487 4,357,462 2,178,731 6,536,194 3,268,097 9,804,292 4,902,146 2,451,073

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