λ
Integer Codex

70,089

3 × 61 × 383
Deficient Odd Composite

For 70,089, the 8 positive divisors have a total of 95,232. Removing 70,089 leaves 25,143, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 61 × 383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 95,232
Proper Divisor Sum 25,143
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #70079 ← → #70099

Radix Representation

Decimal 70089
Binary 10001000111001001 (17 bits)
Octal 0o210711
Hexadecimal 0x111C9

Divisor Catalog (8)

1 3 61 183 383 1,149 23,363 70,089

Collatz Trajectory (218 steps to reach 1)

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

70,089 210,268 105,134 52,567 157,702 78,851 236,554 118,277 354,832 177,416 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036

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