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Atlas › Integer Profiles › Node 25,936,636

25,936,636

22 × 11 × 59 × 97 × 103
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 59 × 97 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,367,680
Proper Divisor Sum 25,431,044
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #25936619 ← → #25936639

Radix Representation

Decimal 25936636
Binary 1100010111100001011111100 (25 bits)
Octal 0o142741374
Hexadecimal 0x18BC2FC

Divisor Catalog (48)

1 2 4 11 22 44 59 97 103 118 194 206 236 388 412 649 1,067 1,133 1,298 2,134 2,266 2,596 4,268 4,532 5,723 6,077 9,991 11,446 12,154 19,982 22,892 24,308 39,964 62,953 66,847 109,901 125,906 133,694 219,802 251,812 267,388 439,604 589,469 1,178,938 2,357,876 6,484,159 12,968,318 25,936,636

Collatz Trajectory (229 steps to reach 1)

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

25,936,636 12,968,318 6,484,159 19,452,478 9,726,239 29,178,718 14,589,359 43,768,078 21,884,039 65,652,118 32,826,059 98,478,178 49,239,089 147,717,268 73,858,634 36,929,317 110,787,952 55,393,976 27,696,988 13,848,494 6,924,247 20,772,742 10,386,371 31,159,114 15,579,557 46,738,672 23,369,336 11,684,668 5,842,334 2,921,167 8,763,502 4,381,751 13,145,254 6,572,627 19,717,882 9,858,941 29,576,824 14,788,412 7,394,206 3,697,103 11,091,310 5,545,655 16,636,966 8,318,483 24,955,450 12,477,725 37,433,176 18,716,588 9,358,294 4,679,147 14,037,442 7,018,721 21,056,164 10,528,082 5,264,041 15,792,124 7,896,062 3,948,031 11,844,094 5,922,047

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