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Atlas › Integer Profiles › Node 41,002,215

41,002,215

3 × 5 × 17 × 23 × 6991
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 23 × 6991
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,493,056
Proper Divisor Sum 31,490,841
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #41002151 ← → #41002219

Radix Representation

Decimal 41002215
Binary 10011100011010010011100111 (26 bits)
Octal 0o234322347
Hexadecimal 0x271A4E7

Divisor Catalog (32)

1 3 5 15 17 23 51 69 85 115 255 345 391 1,173 1,955 5,865 6,991 20,973 34,955 104,865 118,847 160,793 356,541 482,379 594,235 803,965 1,782,705 2,411,895 2,733,481 8,200,443 13,667,405 41,002,215

Collatz Trajectory (191 steps to reach 1)

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

41,002,215 123,006,646 61,503,323 184,509,970 92,254,985 276,764,956 138,382,478 69,191,239 207,573,718 103,786,859 311,360,578 155,680,289 467,040,868 233,520,434 116,760,217 350,280,652 175,140,326 87,570,163 262,710,490 131,355,245 394,065,736 197,032,868 98,516,434 49,258,217 147,774,652 73,887,326 36,943,663 110,830,990 55,415,495 166,246,486 83,123,243 249,369,730 124,684,865 374,054,596 187,027,298 93,513,649 280,540,948 140,270,474 70,135,237 210,405,712 105,202,856 52,601,428 26,300,714 13,150,357 39,451,072 19,725,536 9,862,768 4,931,384 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215 3,120,646 1,560,323

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