λ
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Atlas › Integer Profiles › Node 25,882,234

25,882,234

2 × 7 × 41 × 67 × 673
Deficient Even Composite

25,882,234 factors as 2 × 7 × 41 × 67 × 673. Its 32 positive divisors give a proper-divisor sum of 20,316,422, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 67 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,198,656
Proper Divisor Sum 20,316,422
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25882231 ← → #25882243

Radix Representation

Decimal 25882234
Binary 1100010101110111001111010 (25 bits)
Octal 0o142567172
Hexadecimal 0x18AEE7A

Divisor Catalog (32)

1 2 7 14 41 67 82 134 287 469 574 673 938 1,346 2,747 4,711 5,494 9,422 19,229 27,593 38,458 45,091 55,186 90,182 193,151 315,637 386,302 631,274 1,848,731 3,697,462 12,941,117 25,882,234

Collatz Trajectory (242 steps to reach 1)

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

25,882,234 12,941,117 38,823,352 19,411,676 9,705,838 4,852,919 14,558,758 7,279,379 21,838,138 10,919,069 32,757,208 16,378,604 8,189,302 4,094,651 12,283,954 6,141,977 18,425,932 9,212,966 4,606,483 13,819,450 6,909,725 20,729,176 10,364,588 5,182,294 2,591,147 7,773,442 3,886,721 11,660,164 5,830,082 2,915,041 8,745,124 4,372,562 2,186,281 6,558,844 3,279,422 1,639,711 4,919,134 2,459,567 7,378,702 3,689,351 11,068,054 5,534,027 16,602,082 8,301,041 24,903,124 12,451,562 6,225,781 18,677,344 9,338,672 4,669,336 2,334,668 1,167,334 583,667 1,751,002 875,501 2,626,504 1,313,252 656,626 328,313 984,940

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