120,057

3 × 7 × 5717

120,057 has digital root 6. The neighboring primes are 120049 and 120067; its proper-divisor sum differs from the starting integer by -57,138.

Prime Factor Structure

Factorization String 3 × 7 × 5717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 182,976

Proper Divisor Sum 62,919

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #120049 ← → #120067

Radix Representation

Decimal	120057
Binary	11101010011111001 (17 bits)
Octal	0o352371
Hexadecimal	0x1D4F9

Divisor Catalog (8)

1 3 7 21 5,717 17,151 40,019 120,057

Collatz Trajectory (66 steps to reach 1)

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

120,057 360,172 180,086 90,043 270,130 135,065 405,196 202,598 101,299 303,898 151,949 455,848 227,924 113,962 56,981 170,944 85,472 42,736 21,368 10,684 5,342 2,671 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128

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