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Atlas › Integer Profiles › Node 80,949,232

80,949,232

24 × 7 × 13 × 53 × 1049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 53 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 196,862,400
Proper Divisor Sum 115,913,168
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #80949227 ← → #80949233

Radix Representation

Decimal 80949232
Binary 100110100110010111111110000 (27 bits)
Octal 0o464627760
Hexadecimal 0x4D32FF0

Divisor Catalog (60 of 80)

1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 1,049 1,378 1,456 1,484 2,098 2,756 2,968 4,196 4,823 5,512 5,936 7,343 8,392 9,646 11,024 13,637 14,686 16,784 19,292 27,274 29,372 38,584 54,548 55,597 58,744 77,168 95,459 109,096 111,194 117,488 190,918 218,192 222,388

Collatz Trajectory (135 steps to reach 1)

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

80,949,232 40,474,616 20,237,308 10,118,654 5,059,327 15,177,982 7,588,991 22,766,974 11,383,487 34,150,462 17,075,231 51,225,694 25,612,847 76,838,542 38,419,271 115,257,814 57,628,907 172,886,722 86,443,361 259,330,084 129,665,042 64,832,521 194,497,564 97,248,782 48,624,391 145,873,174 72,936,587 218,809,762 109,404,881 328,214,644 164,107,322 82,053,661 246,160,984 123,080,492 61,540,246 30,770,123 92,310,370 46,155,185 138,465,556 69,232,778 34,616,389 103,849,168 51,924,584 25,962,292 12,981,146 6,490,573 19,471,720 9,735,860 4,867,930 2,433,965 7,301,896 3,650,948 1,825,474 912,737 2,738,212 1,369,106 684,553 2,053,660 1,026,830 513,415

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