λ
Integer Codex

122,565

3 × 5 × 8171
Deficient Odd Composite

For 122,565, the 8 positive divisors have a total of 196,128. Removing 122,565 leaves 73,563, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 8171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 196,128
Proper Divisor Sum 73,563
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #122561 ← → #122579

Radix Representation

Decimal 122565
Binary 11101111011000101 (17 bits)
Octal 0o357305
Hexadecimal 0x1DEC5

Divisor Catalog (8)

1 3 5 15 8,171 24,513 40,855 122,565

Collatz Trajectory (43 steps to reach 1)

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

122,565 367,696 183,848 91,924 45,962 22,981 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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