λ
Ratio Atlas

40,040,017

40040017
Deficient Odd Prime

40,040,017 factors as 40040017. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 40040017
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 40,040,018
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #40039999 ← → #40040027

Radix Representation

Decimal 40040017
Binary 10011000101111011001010001 (26 bits)
Octal 0o230573121
Hexadecimal 0x262F651

Divisor Catalog (2)

Collatz Trajectory (147 steps to reach 1)

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

40,040,017 120,120,052 60,060,026 30,030,013 90,090,040 45,045,020 22,522,510 11,261,255 33,783,766 16,891,883 50,675,650 25,337,825 76,013,476 38,006,738 19,003,369 57,010,108 28,505,054 14,252,527 42,757,582 21,378,791 64,136,374 32,068,187 96,204,562 48,102,281 144,306,844 72,153,422 36,076,711 108,230,134 54,115,067 162,345,202 81,172,601 243,517,804 121,758,902 60,879,451 182,638,354 91,319,177 273,957,532 136,978,766 68,489,383 205,468,150 102,734,075 308,202,226 154,101,113 462,303,340 231,151,670 115,575,835 346,727,506 173,363,753 520,091,260 260,045,630 130,022,815 390,068,446 195,034,223 585,102,670 292,551,335 877,654,006 438,827,003 1,316,481,010 658,240,505 1,974,721,516

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