λ
Integer Codex

122,410

2 × 5 × 12241
Deficient Even Composite

For 122,410, the 8 positive divisors have a total of 220,356. Removing 122,410 leaves 97,946, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 12241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 220,356
Proper Divisor Sum 97,946
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #122401 ← → #122443

Radix Representation

Decimal 122410
Binary 11101111000101010 (17 bits)
Octal 0o357052
Hexadecimal 0x1DE2A

Divisor Catalog (8)

1 2 5 10 12,241 24,482 61,205 122,410

Collatz Trajectory (43 steps to reach 1)

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

122,410 61,205 183,616 91,808 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 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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