λ
Integer Codex

2,167,349

19 × 37 × 3083
Deficient Odd Composite

For 2,167,349, the 8 positive divisors have a total of 2,343,840. Removing 2,167,349 leaves 176,491, which gives the deficient classification.

Prime Factor Structure

Factorization String 19 × 37 × 3083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,343,840
Proper Divisor Sum 176,491
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2167339 ← → #2167351

Radix Representation

Decimal 2167349
Binary 1000010001001000110101 (22 bits)
Octal 0o10211065
Hexadecimal 0x211235

Divisor Catalog (8)

1 19 37 703 3,083 58,577 114,071 2,167,349

Collatz Trajectory (210 steps to reach 1)

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

2,167,349 6,502,048 3,251,024 1,625,512 812,756 406,378 203,189 609,568 304,784 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756

More profiles

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