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Atlas › Integer Profiles › Node 40,966,990

40,966,990

2 × 5 × 61 × 239 × 281
Deficient Even Composite

40,966,990 factors as 2 × 5 × 61 × 239 × 281. Its 32 positive divisors give a proper-divisor sum of 34,563,890, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 239 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,530,880
Proper Divisor Sum 34,563,890
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #40966987 ← → #40966993

Radix Representation

Decimal 40966990
Binary 10011100010001101101001110 (26 bits)
Octal 0o234215516
Hexadecimal 0x2711B4E

Divisor Catalog (32)

1 2 5 10 61 122 239 281 305 478 562 610 1,195 1,405 2,390 2,810 14,579 17,141 29,158 34,282 67,159 72,895 85,705 134,318 145,790 171,410 335,795 671,590 4,096,699 8,193,398 20,483,495 40,966,990

Collatz Trajectory (129 steps to reach 1)

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

40,966,990 20,483,495 61,450,486 30,725,243 92,175,730 46,087,865 138,263,596 69,131,798 34,565,899 103,697,698 51,848,849 155,546,548 77,773,274 38,886,637 116,659,912 58,329,956 29,164,978 14,582,489 43,747,468 21,873,734 10,936,867 32,810,602 16,405,301 49,215,904 24,607,952 12,303,976 6,151,988 3,075,994 1,537,997 4,613,992 2,306,996 1,153,498 576,749 1,730,248 865,124 432,562 216,281 648,844 324,422 162,211 486,634 243,317 729,952 364,976 182,488 91,244 45,622 22,811 68,434 34,217 102,652 51,326 25,663 76,990 38,495 115,486 57,743 173,230 86,615 259,846

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