λ
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25,763,595

3 × 5 × 11 × 13 × 12011
Deficient Odd Composite

25,763,595 factors as 3 × 5 × 11 × 13 × 12011. Its 32 positive divisors give a proper-divisor sum of 22,668,789, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 12011
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,432,384
Proper Divisor Sum 22,668,789
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #25763587 ← → #25763597

Radix Representation

Decimal 25763595
Binary 1100010010001111100001011 (25 bits)
Octal 0o142217413
Hexadecimal 0x1891F0B

Divisor Catalog (32)

1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2,145 12,011 36,033 60,055 132,121 156,143 180,165 396,363 468,429 660,605 780,715 1,717,573 1,981,815 2,342,145 5,152,719 8,587,865 25,763,595

Collatz Trajectory (242 steps to reach 1)

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

25,763,595 77,290,786 38,645,393 115,936,180 57,968,090 28,984,045 86,952,136 43,476,068 21,738,034 10,869,017 32,607,052 16,303,526 8,151,763 24,455,290 12,227,645 36,682,936 18,341,468 9,170,734 4,585,367 13,756,102 6,878,051 20,634,154 10,317,077 30,951,232 15,475,616 7,737,808 3,868,904 1,934,452 967,226 483,613 1,450,840 725,420 362,710 181,355 544,066 272,033 816,100 408,050 204,025 612,076 306,038 153,019 459,058 229,529 688,588 344,294 172,147 516,442 258,221 774,664 387,332 193,666 96,833 290,500 145,250 72,625 217,876 108,938 54,469 163,408

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