λ
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Atlas › Integer Profiles › Node 43,670,165

43,670,165

5 × 7 × 11 × 31 × 3659
Deficient Odd Composite

43,670,165 factors as 5 × 7 × 11 × 31 × 3659. Its 32 positive divisors give a proper-divisor sum of 23,790,955, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 31 × 3659
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,461,120
Proper Divisor Sum 23,790,955
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #43670153 ← → #43670171

Radix Representation

Decimal 43670165
Binary 10100110100101101010010101 (26 bits)
Octal 0o246455225
Hexadecimal 0x29A5A95

Divisor Catalog (32)

1 5 7 11 31 35 55 77 155 217 341 385 1,085 1,705 2,387 3,659 11,935 18,295 25,613 40,249 113,429 128,065 201,245 281,743 567,145 794,003 1,247,719 1,408,715 3,970,015 6,238,595 8,734,033 43,670,165

Collatz Trajectory (173 steps to reach 1)

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

43,670,165 131,010,496 65,505,248 32,752,624 16,376,312 8,188,156 4,094,078 2,047,039 6,141,118 3,070,559 9,211,678 4,605,839 13,817,518 6,908,759 20,726,278 10,363,139 31,089,418 15,544,709 46,634,128 23,317,064 11,658,532 5,829,266 2,914,633 8,743,900 4,371,950 2,185,975 6,557,926 3,278,963 9,836,890 4,918,445 14,755,336 7,377,668 3,688,834 1,844,417 5,533,252 2,766,626 1,383,313 4,149,940 2,074,970 1,037,485 3,112,456 1,556,228 778,114 389,057 1,167,172 583,586 291,793 875,380 437,690 218,845 656,536 328,268 164,134 82,067 246,202 123,101 369,304 184,652 92,326 46,163

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