λ
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Atlas › Integer Profiles › Node 41,006,397

41,006,397

3 × 17 × 31 × 37 × 701
Deficient Odd Composite

41,006,397 factors as 3 × 17 × 31 × 37 × 701. Its 32 positive divisors give a proper-divisor sum of 20,455,107, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 37 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,461,504
Proper Divisor Sum 20,455,107
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41006387 ← → #41006461

Radix Representation

Decimal 41006397
Binary 10011100011011010100111101 (26 bits)
Octal 0o234332475
Hexadecimal 0x271B53D

Divisor Catalog (32)

1 3 17 31 37 51 93 111 527 629 701 1,147 1,581 1,887 2,103 3,441 11,917 19,499 21,731 25,937 35,751 58,497 65,193 77,811 369,427 440,929 804,047 1,108,281 1,322,787 2,412,141 13,668,799 41,006,397

Collatz Trajectory (253 steps to reach 1)

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

41,006,397 123,019,192 61,509,596 30,754,798 15,377,399 46,132,198 23,066,099 69,198,298 34,599,149 103,797,448 51,898,724 25,949,362 12,974,681 38,924,044 19,462,022 9,731,011 29,193,034 14,596,517 43,789,552 21,894,776 10,947,388 5,473,694 2,736,847 8,210,542 4,105,271 12,315,814 6,157,907 18,473,722 9,236,861 27,710,584 13,855,292 6,927,646 3,463,823 10,391,470 5,195,735 15,587,206 7,793,603 23,380,810 11,690,405 35,071,216 17,535,608 8,767,804 4,383,902 2,191,951 6,575,854 3,287,927 9,863,782 4,931,891 14,795,674 7,397,837 22,193,512 11,096,756 5,548,378 2,774,189 8,322,568 4,161,284 2,080,642 1,040,321 3,120,964 1,560,482

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