λ
Integer Codex

840,101

29 × 59 × 491
Deficient Odd Composite

For 840,101, the 8 positive divisors have a total of 885,600. Removing 840,101 leaves 45,499, which gives the deficient classification.

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Prime Factor Structure

Factorization String 29 × 59 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 885,600
Proper Divisor Sum 45,499
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #840083 ← → #840109

Radix Representation

Decimal 840101
Binary 11001101000110100101 (20 bits)
Octal 0o3150645
Hexadecimal 0xCD1A5

Divisor Catalog (5 of 8)

1 29 59 491 1,711

Collatz Trajectory (56 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

840,101 2,520,304 1,260,152 630,076 315,038

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