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Atlas › Integer Profiles › Node 36,959,085

36,959,085

35 × 5 × 19 × 1601
Deficient Odd Composite

36,959,085 factors as 3^5 × 5 × 19 × 1601. Its 48 positive divisors give a proper-divisor sum of 33,016,275, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 19 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 69,975,360
Proper Divisor Sum 33,016,275
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36959051 ← → #36959089

Radix Representation

Decimal 36959085
Binary 10001100111111001101101101 (26 bits)
Octal 0o214771555
Hexadecimal 0x233F36D

Divisor Catalog (48)

1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 855 1,215 1,539 1,601 2,565 4,617 4,803 7,695 8,005 14,409 23,085 24,015 30,419 43,227 72,045 91,257 129,681 152,095 216,135 273,771 389,043 456,285 648,405 821,313 1,368,855 1,945,215 2,463,939 4,106,565 7,391,817 12,319,695 36,959,085

Collatz Trajectory (134 steps to reach 1)

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

36,959,085 110,877,256 55,438,628 27,719,314 13,859,657 41,578,972 20,789,486 10,394,743 31,184,230 15,592,115 46,776,346 23,388,173 70,164,520 35,082,260 17,541,130 8,770,565 26,311,696 13,155,848 6,577,924 3,288,962 1,644,481 4,933,444 2,466,722 1,233,361 3,700,084 1,850,042 925,021 2,775,064 1,387,532 693,766 346,883 1,040,650 520,325 1,560,976 780,488 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070

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