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Atlas › Integer Profiles › Node 25,759,917

25,759,917

33 × 29 × 167 × 197
Deficient Odd Composite

25,759,917 factors as 3^3 × 29 × 167 × 197. Its 32 positive divisors give a proper-divisor sum of 14,156,883, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 167 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,916,800
Proper Divisor Sum 14,156,883
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #25759891 ← → #25759919

Radix Representation

Decimal 25759917
Binary 1100010010001000010101101 (25 bits)
Octal 0o142210255
Hexadecimal 0x18910AD

Divisor Catalog (32)

1 3 9 27 29 87 167 197 261 501 591 783 1,503 1,773 4,509 4,843 5,319 5,713 14,529 17,139 32,899 43,587 51,417 98,697 130,761 154,251 296,091 888,273 954,071 2,862,213 8,586,639 25,759,917

Collatz Trajectory (123 steps to reach 1)

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

25,759,917 77,279,752 38,639,876 19,319,938 9,659,969 28,979,908 14,489,954 7,244,977 21,734,932 10,867,466 5,433,733 16,301,200 8,150,600 4,075,300 2,037,650 1,018,825 3,056,476 1,528,238 764,119 2,292,358 1,146,179 3,438,538 1,719,269 5,157,808 2,578,904 1,289,452 644,726 322,363 967,090 483,545 1,450,636 725,318 362,659 1,087,978 543,989 1,631,968 815,984 407,992 203,996 101,998 50,999 152,998 76,499 229,498 114,749 344,248 172,124 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232

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