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Atlas › Integer Profiles › Node 41,002,810

41,002,810

2 × 5 × 17 × 29 × 8317
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 29 × 8317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,850,960
Proper Divisor Sum 39,848,150
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #41002799 ← → #41002811

Radix Representation

Decimal 41002810
Binary 10011100011010011100111010 (26 bits)
Octal 0o234323472
Hexadecimal 0x271A73A

Divisor Catalog (32)

1 2 5 10 17 29 34 58 85 145 170 290 493 986 2,465 4,930 8,317 16,634 41,585 83,170 141,389 241,193 282,778 482,386 706,945 1,205,965 1,413,890 2,411,930 4,100,281 8,200,562 20,501,405 41,002,810

Collatz Trajectory (191 steps to reach 1)

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

41,002,810 20,501,405 61,504,216 30,752,108 15,376,054 7,688,027 23,064,082 11,532,041 34,596,124 17,298,062 8,649,031 25,947,094 12,973,547 38,920,642 19,460,321 58,380,964 29,190,482 14,595,241 43,785,724 21,892,862 10,946,431 32,839,294 16,419,647 49,258,942 24,629,471 73,888,414 36,944,207 110,832,622 55,416,311 166,248,934 83,124,467 249,373,402 124,686,701 374,060,104 187,030,052 93,515,026 46,757,513 140,272,540 70,136,270 35,068,135 105,204,406 52,602,203 157,806,610 78,903,305 236,709,916 118,354,958 59,177,479 177,532,438 88,766,219 266,298,658 133,149,329 399,447,988 199,723,994 99,861,997 299,585,992 149,792,996 74,896,498 37,448,249 112,344,748 56,172,374

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