λ
Integer Codex

2,681,469

32 × 7 × 31 × 1373
Deficient Odd Composite

For 2,681,469, the 24 positive divisors have a total of 4,572,672. Removing 2,681,469 leaves 1,891,203, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 31 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,572,672
Proper Divisor Sum 1,891,203
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2681467 ← → #2681473

Radix Representation

Decimal 2681469
Binary 1010001110101001111101 (22 bits)
Octal 0o12165175
Hexadecimal 0x28EA7D

Divisor Catalog (24)

1 3 7 9 21 31 63 93 217 279 651 1,373 1,953 4,119 9,611 12,357 28,833 42,563 86,499 127,689 297,941 383,067 893,823 2,681,469

Collatz Trajectory (293 steps to reach 1)

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

2,681,469 8,044,408 4,022,204 2,011,102 1,005,551 3,016,654 1,508,327 4,524,982 2,262,491 6,787,474 3,393,737 10,181,212 5,090,606 2,545,303 7,635,910 3,817,955 11,453,866 5,726,933 17,180,800 8,590,400 4,295,200 2,147,600 1,073,800 536,900 268,450 134,225 402,676 201,338 100,669 302,008 151,004 75,502 37,751 113,254 56,627 169,882 84,941 254,824 127,412 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059

More profiles

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