5,640,256

2⁶ × 88129

5,640,256 factors as 2^6 × 88129. Its 14 positive divisors give a proper-divisor sum of 5,552,254, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^6 × 88129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 11,192,510

Proper Divisor Sum 5,552,254

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5640253 ← → #5640281

Radix Representation

Decimal	5640256
Binary	10101100001000001000000 (23 bits)
Octal	0o25410100
Hexadecimal	0x561040

Divisor Catalog (14)

1 2 4 8 16 32 64 88,129 176,258 352,516 705,032 1,410,064 2,820,128 5,640,256

Collatz Trajectory (77 steps to reach 1)

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

5,640,256 2,820,128 1,410,064 705,032 352,516 176,258 88,129 264,388 132,194 66,097 198,292 99,146 49,573 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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