73,681,730

2 × 5 × 31 × 237683

73,681,730 factors as 2 × 5 × 31 × 237683. Its 16 positive divisors give a proper-divisor sum of 63,224,254, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 237683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 136,905,984

Proper Divisor Sum 63,224,254

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #73681697 ← → #73681739

Radix Representation

Decimal	73681730
Binary	100011001000100101101000010 (27 bits)
Octal	0o431045502
Hexadecimal	0x4644B42

Divisor Catalog (16)

1 2 5 10 31 62 155 310 237,683 475,366 1,188,415 2,376,830 7,368,173 14,736,346 36,840,865 73,681,730

Collatz Trajectory (197 steps to reach 1)

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

73,681,730 36,840,865 110,522,596 55,261,298 27,630,649 82,891,948 41,445,974 20,722,987 62,168,962 31,084,481 93,253,444 46,626,722 23,313,361 69,940,084 34,970,042 17,485,021 52,455,064 26,227,532 13,113,766 6,556,883 19,670,650 9,835,325 29,505,976 14,752,988 7,376,494 3,688,247 11,064,742 5,532,371 16,597,114 8,298,557 24,895,672 12,447,836 6,223,918 3,111,959 9,335,878 4,667,939 14,003,818 7,001,909 21,005,728 10,502,864 5,251,432 2,625,716 1,312,858 656,429 1,969,288 984,644 492,322 246,161 738,484 369,242 184,621 553,864 276,932 138,466 69,233 207,700 103,850 51,925 155,776 77,888

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