λ
Integer Codex

2,564,393

13 × 197261
Deficient Odd Composite

For 2,564,393, the 4 positive divisors have a total of 2,761,668. Removing 2,564,393 leaves 197,275, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 197261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,761,668
Proper Divisor Sum 197,275
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2564381 ← → #2564407

Radix Representation

Decimal 2564393
Binary 1001110010000100101001 (22 bits)
Octal 0o11620451
Hexadecimal 0x272129

Divisor Catalog (4)

1 13 197,261 2,564,393

Collatz Trajectory (174 steps to reach 1)

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

2,564,393 7,693,180 3,846,590 1,923,295 5,769,886 2,884,943 8,654,830 4,327,415 12,982,246 6,491,123 19,473,370 9,736,685 29,210,056 14,605,028 7,302,514 3,651,257 10,953,772 5,476,886 2,738,443 8,215,330 4,107,665 12,322,996 6,161,498 3,080,749 9,242,248 4,621,124 2,310,562 1,155,281 3,465,844 1,732,922 866,461 2,599,384 1,299,692 649,846 324,923 974,770 487,385 1,462,156 731,078 365,539 1,096,618 548,309 1,644,928 822,464 411,232 205,616 102,808 51,404 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711

More profiles

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