λ
Integer Codex

690,121

401 × 1721
Deficient Odd Composite

For 690,121, the 4 positive divisors have a total of 692,244. Removing 690,121 leaves 2,123, which gives the deficient classification.

Prime Factor Structure

Factorization String 401 × 1721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 692,244
Proper Divisor Sum 2,123
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #690119 ← → #690127

Radix Representation

Decimal 690121
Binary 10101000011111001001 (20 bits)
Octal 0o2503711
Hexadecimal 0xA87C9

Divisor Catalog (4)

1 401 1,721 690,121

Collatz Trajectory (79 steps to reach 1)

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

690,121 2,070,364 1,035,182 517,591 1,552,774 776,387 2,329,162 1,164,581 3,493,744 1,746,872 873,436 436,718 218,359 655,078 327,539 982,618 491,309 1,473,928 736,964 368,482 184,241 552,724 276,362 138,181 414,544 207,272 103,636 51,818 25,909 77,728 38,864 19,432 9,716 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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