λ
Integer Codex

1,699,729

101 × 16829
Deficient Odd Composite

For 1,699,729, the 4 positive divisors have a total of 1,716,660. Removing 1,699,729 leaves 16,931, which gives the deficient classification.

Prime Factor Structure

Factorization String 101 × 16829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,716,660
Proper Divisor Sum 16,931
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #1699727 ← → #1699739

Radix Representation

Decimal 1699729
Binary 110011110111110010001 (21 bits)
Octal 0o6367621
Hexadecimal 0x19EF91

Divisor Catalog (4)

1 101 16,829 1,699,729

Collatz Trajectory (189 steps to reach 1)

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

1,699,729 5,099,188 2,549,594 1,274,797 3,824,392 1,912,196 956,098 478,049 1,434,148 717,074 358,537 1,075,612 537,806 268,903 806,710 403,355 1,210,066 605,033 1,815,100 907,550 453,775 1,361,326 680,663 2,041,990 1,020,995 3,062,986 1,531,493 4,594,480 2,297,240 1,148,620 574,310 287,155 861,466 430,733 1,292,200 646,100 323,050 161,525 484,576 242,288 121,144 60,572 30,286 15,143 45,430 22,715 68,146 34,073 102,220 51,110 25,555 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690

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