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Atlas › Integer Profiles › Node 49,335,165

49,335,165

32 × 5 × 11 × 99667
Deficient Odd Composite

49,335,165 factors as 3^2 × 5 × 11 × 99667. Its 24 positive divisors give a proper-divisor sum of 43,954,083, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 99667
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 93,289,248
Proper Divisor Sum 43,954,083
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #49335163 ← → #49335193

Radix Representation

Decimal 49335165
Binary 10111100001100101101111101 (26 bits)
Octal 0o274145575
Hexadecimal 0x2F0CB7D

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 99,667 299,001 498,335 897,003 1,096,337 1,495,005 3,289,011 4,485,015 5,481,685 9,867,033 16,445,055 49,335,165

Collatz Trajectory (191 steps to reach 1)

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

49,335,165 148,005,496 74,002,748 37,001,374 18,500,687 55,502,062 27,751,031 83,253,094 41,626,547 124,879,642 62,439,821 187,319,464 93,659,732 46,829,866 23,414,933 70,244,800 35,122,400 17,561,200 8,780,600 4,390,300 2,195,150 1,097,575 3,292,726 1,646,363 4,939,090 2,469,545 7,408,636 3,704,318 1,852,159 5,556,478 2,778,239 8,334,718 4,167,359 12,502,078 6,251,039 18,753,118 9,376,559 28,129,678 14,064,839 42,194,518 21,097,259 63,291,778 31,645,889 94,937,668 47,468,834 23,734,417 71,203,252 35,601,626 17,800,813 53,402,440 26,701,220 13,350,610 6,675,305 20,025,916 10,012,958 5,006,479 15,019,438 7,509,719 22,529,158 11,264,579

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