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Atlas › Integer Profiles › Node 41,580,946

41,580,946

2 × 11 × 17 × 73 × 1523
Deficient Even Composite

41,580,946 factors as 2 × 11 × 17 × 73 × 1523. Its 32 positive divisors give a proper-divisor sum of 31,497,902, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 73 × 1523
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,078,848
Proper Divisor Sum 31,497,902
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #41580919 ← → #41580953

Radix Representation

Decimal 41580946
Binary 10011110100111100110010010 (26 bits)
Octal 0o236474622
Hexadecimal 0x27A7992

Divisor Catalog (32)

1 2 11 17 22 34 73 146 187 374 803 1,241 1,523 1,606 2,482 3,046 13,651 16,753 25,891 27,302 33,506 51,782 111,179 222,358 284,801 569,602 1,222,969 1,890,043 2,445,938 3,780,086 20,790,473 41,580,946

Collatz Trajectory (98 steps to reach 1)

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

41,580,946 20,790,473 62,371,420 31,185,710 15,592,855 46,778,566 23,389,283 70,167,850 35,083,925 105,251,776 52,625,888 26,312,944 13,156,472 6,578,236 3,289,118 1,644,559 4,933,678 2,466,839 7,400,518 3,700,259 11,100,778 5,550,389 16,651,168 8,325,584 4,162,792 2,081,396 1,040,698 520,349 1,561,048 780,524 390,262 195,131 585,394 292,697 878,092 439,046 219,523 658,570 329,285 987,856 493,928 246,964 123,482 61,741 185,224 92,612 46,306 23,153 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222

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