λ
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Atlas › Integer Profiles › Node 25,757,758

25,757,758

2 × 13 × 41 × 73 × 331
Deficient Even Composite

25,757,758 factors as 2 × 13 × 41 × 73 × 331. Its 32 positive divisors give a proper-divisor sum of 17,580,194, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 73 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,337,952
Proper Divisor Sum 17,580,194
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #25757741 ← → #25757761

Radix Representation

Decimal 25757758
Binary 1100010010000100000111110 (25 bits)
Octal 0o142204076
Hexadecimal 0x189083E

Divisor Catalog (32)

1 2 13 26 41 73 82 146 331 533 662 949 1,066 1,898 2,993 4,303 5,986 8,606 13,571 24,163 27,142 38,909 48,326 77,818 176,423 314,119 352,846 628,238 990,683 1,981,366 12,878,879 25,757,758

Collatz Trajectory (229 steps to reach 1)

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

25,757,758 12,878,879 38,636,638 19,318,319 57,954,958 28,977,479 86,932,438 43,466,219 130,398,658 65,199,329 195,597,988 97,798,994 48,899,497 146,698,492 73,349,246 36,674,623 110,023,870 55,011,935 165,035,806 82,517,903 247,553,710 123,776,855 371,330,566 185,665,283 556,995,850 278,497,925 835,493,776 417,746,888 208,873,444 104,436,722 52,218,361 156,655,084 78,327,542 39,163,771 117,491,314 58,745,657 176,236,972 88,118,486 44,059,243 132,177,730 66,088,865 198,266,596 99,133,298 49,566,649 148,699,948 74,349,974 37,174,987 111,524,962 55,762,481 167,287,444 83,643,722 41,821,861 125,465,584 62,732,792 31,366,396 15,683,198 7,841,599 23,524,798 11,762,399 35,287,198

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