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Atlas › Integer Profiles › Node 25,751,310

25,751,310

2 × 3 × 5 × 13 × 66029
Abundant Even Composite

25,751,310 factors as 2 × 3 × 5 × 13 × 66029. Its 32 positive divisors give a proper-divisor sum of 40,806,930, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 66029
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,558,240
Proper Divisor Sum 40,806,930
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #25751309 ← → #25751353

Radix Representation

Decimal 25751310
Binary 1100010001110111100001110 (25 bits)
Octal 0o142167416
Hexadecimal 0x188EF0E

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 66,029 132,058 198,087 330,145 396,174 660,290 858,377 990,435 1,716,754 1,980,870 2,575,131 4,291,885 5,150,262 8,583,770 12,875,655 25,751,310

Collatz Trajectory (211 steps to reach 1)

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

25,751,310 12,875,655 38,626,966 19,313,483 57,940,450 28,970,225 86,910,676 43,455,338 21,727,669 65,183,008 32,591,504 16,295,752 8,147,876 4,073,938 2,036,969 6,110,908 3,055,454 1,527,727 4,583,182 2,291,591 6,874,774 3,437,387 10,312,162 5,156,081 15,468,244 7,734,122 3,867,061 11,601,184 5,800,592 2,900,296 1,450,148 725,074 362,537 1,087,612 543,806 271,903 815,710 407,855 1,223,566 611,783 1,835,350 917,675 2,753,026 1,376,513 4,129,540 2,064,770 1,032,385 3,097,156 1,548,578 774,289 2,322,868 1,161,434 580,717 1,742,152 871,076 435,538 217,769 653,308 326,654 163,327

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