λ
Integer Codex

180,833

67 × 2699
Deficient Odd Composite

For 180,833, the 4 positive divisors have a total of 183,600. Removing 180,833 leaves 2,767, which gives the deficient classification.

Prime Factor Structure

Factorization String 67 × 2699
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 183,600
Proper Divisor Sum 2,767
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #180811 ← → #180847

Radix Representation

Decimal 180833
Binary 101100001001100001 (18 bits)
Octal 0o541141
Hexadecimal 0x2C261

Divisor Catalog (4)

1 67 2,699 180,833

Collatz Trajectory (64 steps to reach 1)

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

180,833 542,500 271,250 135,625 406,876 203,438 101,719 305,158 152,579 457,738 228,869 686,608 343,304 171,652 85,826 42,913 128,740 64,370 32,185 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

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