122,778

2 × 3² × 19 × 359

122,778 is even and not a perfect square. Its factorization is 2 × 3^2 × 19 × 359 and its 24 divisors sum to 280,800.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 280,800

Proper Divisor Sum 158,022

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #122777 ← → #122789

Radix Representation

Decimal	122778
Binary	11101111110011010 (17 bits)
Octal	0o357632
Hexadecimal	0x1DF9A

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 359 718 1,077 2,154 3,231 6,462 6,821 13,642 20,463 40,926 61,389 122,778

Collatz Trajectory (61 steps to reach 1)

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

122,778 61,389 184,168 92,084 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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