λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,517,455
40,517,455
5 × 112 × 193 × 347
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11^2 × 193 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 53,874,576
Proper Divisor Sum 13,357,121
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40517429 ← → #40517459

Radix Representation

Decimal 40517455
Binary 10011010100011111101001111 (26 bits)
Octal 0o232437517
Hexadecimal 0x26A3F4F

Divisor Catalog (24)

1 5 11 55 121 193 347 605 965 1,735 2,123 3,817 10,615 19,085 23,353 41,987 66,971 116,765 209,935 334,855 736,681 3,683,405 8,103,491 40,517,455

Collatz Trajectory (191 steps to reach 1)

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

40,517,455 121,552,366 60,776,183 182,328,550 91,164,275 273,492,826 136,746,413 410,239,240 205,119,620 102,559,810 51,279,905 153,839,716 76,919,858 38,459,929 115,379,788 57,689,894 28,844,947 86,534,842 43,267,421 129,802,264 64,901,132 32,450,566 16,225,283 48,675,850 24,337,925 73,013,776 36,506,888 18,253,444 9,126,722 4,563,361 13,690,084 6,845,042 3,422,521 10,267,564 5,133,782 2,566,891 7,700,674 3,850,337 11,551,012 5,775,506 2,887,753 8,663,260 4,331,630 2,165,815 6,497,446 3,248,723 9,746,170 4,873,085 14,619,256 7,309,628 3,654,814 1,827,407 5,482,222 2,741,111 8,223,334 4,111,667 12,335,002 6,167,501 18,502,504 9,251,252

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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