λ
Integer Codex

1,723,937

199 × 8663
Deficient Odd Composite

For 1,723,937, the 4 positive divisors have a total of 1,732,800. Removing 1,723,937 leaves 8,863, which gives the deficient classification.

Prime Factor Structure

Factorization String 199 × 8663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,732,800
Proper Divisor Sum 8,863
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1723903 ← → #1723957

Radix Representation

Decimal 1723937
Binary 110100100111000100001 (21 bits)
Octal 0o6447041
Hexadecimal 0x1A4E21

Divisor Catalog (4)

1 199 8,663 1,723,937

Collatz Trajectory (282 steps to reach 1)

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

1,723,937 5,171,812 2,585,906 1,292,953 3,878,860 1,939,430 969,715 2,909,146 1,454,573 4,363,720 2,181,860 1,090,930 545,465 1,636,396 818,198 409,099 1,227,298 613,649 1,840,948 920,474 460,237 1,380,712 690,356 345,178 172,589 517,768 258,884 129,442 64,721 194,164 97,082 48,541 145,624 72,812 36,406 18,203 54,610 27,305 81,916 40,958 20,479 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958

More profiles

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