λ
Integer Codex

1,821,940

22 × 5 × 91097
Abundant Even Composite

For 1,821,940, the 12 positive divisors have a total of 3,826,116. Removing 1,821,940 leaves 2,004,176, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 91097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,826,116
Proper Divisor Sum 2,004,176
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1821923 ← → #1821943

Radix Representation

Decimal 1821940
Binary 110111100110011110100 (21 bits)
Octal 0o6746364
Hexadecimal 0x1BCCF4

Divisor Catalog (12)

1 2 4 5 10 20 91,097 182,194 364,388 455,485 910,970 1,821,940

Collatz Trajectory (83 steps to reach 1)

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

1,821,940 910,970 455,485 1,366,456 683,228 341,614 170,807 512,422 256,211 768,634 384,317 1,152,952 576,476 288,238 144,119 432,358 216,179 648,538 324,269 972,808 486,404 243,202 121,601 364,804 182,402 91,201 273,604 136,802 68,401 205,204 102,602 51,301 153,904 76,952 38,476 19,238 9,619 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930

More profiles

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