λ
Integer Codex

1,820,221

13 × 163 × 859
Deficient Odd Composite

For 1,820,221, the 8 positive divisors have a total of 1,974,560. Removing 1,820,221 leaves 154,339, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 163 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,974,560
Proper Divisor Sum 154,339
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1820213 ← → #1820237

Radix Representation

Decimal 1820221
Binary 110111100011000111101 (21 bits)
Octal 0o6743075
Hexadecimal 0x1BC63D

Divisor Catalog (8)

1 13 163 859 2,119 11,167 140,017 1,820,221

Collatz Trajectory (109 steps to reach 1)

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

1,820,221 5,460,664 2,730,332 1,365,166 682,583 2,047,750 1,023,875 3,071,626 1,535,813 4,607,440 2,303,720 1,151,860 575,930 287,965 863,896 431,948 215,974 107,987 323,962 161,981 485,944 242,972 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925

More profiles

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