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Atlas › Integer Profiles › Node 57,725,865

57,725,865

37 × 5 × 5279
Deficient Odd Composite

57,725,865 factors as 3^7 × 5 × 5279. Its 32 positive divisors give a proper-divisor sum of 46,184,535, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3^7 × 5 × 5279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,910,400
Proper Divisor Sum 46,184,535
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57725861 ← → #57725867

Radix Representation

Decimal 57725865
Binary 11011100001101001110101001 (26 bits)
Octal 0o334151651
Hexadecimal 0x370D3A9

Divisor Catalog (32)

1 3 5 9 15 27 45 81 135 243 405 729 1,215 2,187 3,645 5,279 10,935 15,837 26,395 47,511 79,185 142,533 237,555 427,599 712,665 1,282,797 2,137,995 3,848,391 6,413,985 11,545,173 19,241,955 57,725,865

Collatz Trajectory (225 steps to reach 1)

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

57,725,865 173,177,596 86,588,798 43,294,399 129,883,198 64,941,599 194,824,798 97,412,399 292,237,198 146,118,599 438,355,798 219,177,899 657,533,698 328,766,849 986,300,548 493,150,274 246,575,137 739,725,412 369,862,706 184,931,353 554,794,060 277,397,030 138,698,515 416,095,546 208,047,773 624,143,320 312,071,660 156,035,830 78,017,915 234,053,746 117,026,873 351,080,620 175,540,310 87,770,155 263,310,466 131,655,233 394,965,700 197,482,850 98,741,425 296,224,276 148,112,138 74,056,069 222,168,208 111,084,104 55,542,052 27,771,026 13,885,513 41,656,540 20,828,270 10,414,135 31,242,406 15,621,203 46,863,610 23,431,805 70,295,416 35,147,708 17,573,854 8,786,927 26,360,782 13,180,391

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