λ
Integer Codex

71,690

2 × 5 × 67 × 107
Deficient Even Composite

For 71,690, the 16 positive divisors have a total of 132,192. Removing 71,690 leaves 60,502, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 132,192
Proper Divisor Sum 60,502
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #71671 ← → #71693

Radix Representation

Decimal 71690
Binary 10001100000001010 (17 bits)
Octal 0o214012
Hexadecimal 0x1180A

Divisor Catalog (16)

1 2 5 10 67 107 134 214 335 535 670 1,070 7,169 14,338 35,845 71,690

Collatz Trajectory (50 steps to reach 1)

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

71,690 35,845 107,536 53,768 26,884 13,442 6,721 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 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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