λ
Ratio Atlas

25,198,751

25198751
Deficient Odd Prime

25,198,751 factors as 25198751. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 25198751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 25,198,752
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #25198727 ← → #25198759

Radix Representation

Decimal 25198751
Binary 1100000001000000010011111 (25 bits)
Octal 0o140100237
Hexadecimal 0x180809F

Divisor Catalog (2)

Collatz Trajectory (304 steps to reach 1)

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

25,198,751 75,596,254 37,798,127 113,394,382 56,697,191 170,091,574 85,045,787 255,137,362 127,568,681 382,706,044 191,353,022 95,676,511 287,029,534 143,514,767 430,544,302 215,272,151 645,816,454 322,908,227 968,724,682 484,362,341 1,453,087,024 726,543,512 363,271,756 181,635,878 90,817,939 272,453,818 136,226,909 408,680,728 204,340,364 102,170,182 51,085,091 153,255,274 76,627,637 229,882,912 114,941,456 57,470,728 28,735,364 14,367,682 7,183,841 21,551,524 10,775,762 5,387,881 16,163,644 8,081,822 4,040,911 12,122,734 6,061,367 18,184,102 9,092,051 27,276,154 13,638,077 40,914,232 20,457,116 10,228,558 5,114,279 15,342,838 7,671,419 23,014,258 11,507,129 34,521,388

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