λ
Ratio Atlas

40,410,791

79 × 83 × 6163
Deficient Odd Composite

40,410,791 factors as 79 × 83 × 6163. Its 8 positive divisors give a proper-divisor sum of 1,011,289, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 79 × 83 × 6163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 41,422,080
Proper Divisor Sum 1,011,289
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40410787 ← → #40410803

Radix Representation

Decimal 40410791
Binary 10011010001001111010100111 (26 bits)
Octal 0o232117247
Hexadecimal 0x2689EA7

Divisor Catalog (8)

Collatz Trajectory (178 steps to reach 1)

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

40,410,791 121,232,374 60,616,187 181,848,562 90,924,281 272,772,844 136,386,422 68,193,211 204,579,634 102,289,817 306,869,452 153,434,726 76,717,363 230,152,090 115,076,045 345,228,136 172,614,068 86,307,034 43,153,517 129,460,552 64,730,276 32,365,138 16,182,569 48,547,708 24,273,854 12,136,927 36,410,782 18,205,391 54,616,174 27,308,087 81,924,262 40,962,131 122,886,394 61,443,197 184,329,592 92,164,796 46,082,398 23,041,199 69,123,598 34,561,799 103,685,398 51,842,699 155,528,098 77,764,049 233,292,148 116,646,074 58,323,037 174,969,112 87,484,556 43,742,278 21,871,139 65,613,418 32,806,709 98,420,128 49,210,064 24,605,032 12,302,516 6,151,258 3,075,629 9,226,888

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