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Atlas › Integer Profiles › Node 41,561,390

41,561,390

2 × 5 × 13 × 31 × 10313
Abundant Even Composite

41,561,390 factors as 2 × 5 × 13 × 31 × 10313. Its 32 positive divisors give a proper-divisor sum of 41,610,706, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 31 × 10313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,172,096
Proper Divisor Sum 41,610,706
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41561371 ← → #41561407

Radix Representation

Decimal 41561390
Binary 10011110100010110100101110 (26 bits)
Octal 0o236426456
Hexadecimal 0x27A2D2E

Divisor Catalog (32)

1 2 5 10 13 26 31 62 65 130 155 310 403 806 2,015 4,030 10,313 20,626 51,565 103,130 134,069 268,138 319,703 639,406 670,345 1,340,690 1,598,515 3,197,030 4,156,139 8,312,278 20,780,695 41,561,390

Collatz Trajectory (191 steps to reach 1)

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

41,561,390 20,780,695 62,342,086 31,171,043 93,513,130 46,756,565 140,269,696 70,134,848 35,067,424 17,533,712 8,766,856 4,383,428 2,191,714 1,095,857 3,287,572 1,643,786 821,893 2,465,680 1,232,840 616,420 308,210 154,105 462,316 231,158 115,579 346,738 173,369 520,108 260,054 130,027 390,082 195,041 585,124 292,562 146,281 438,844 219,422 109,711 329,134 164,567 493,702 246,851 740,554 370,277 1,110,832 555,416 277,708 138,854 69,427 208,282 104,141 312,424 156,212 78,106 39,053 117,160 58,580 29,290 14,645 43,936

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