λ
Integer Codex

2,692,378

2 × 13 × 103553
Deficient Even Composite

For 2,692,378, the 8 positive divisors have a total of 4,349,268. Removing 2,692,378 leaves 1,656,890, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 103553
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,349,268
Proper Divisor Sum 1,656,890
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2692367 ← → #2692411

Radix Representation

Decimal 2692378
Binary 1010010001010100011010 (22 bits)
Octal 0o12212432
Hexadecimal 0x29151A

Divisor Catalog (8)

1 2 13 26 103,553 207,106 1,346,189 2,692,378

Collatz Trajectory (94 steps to reach 1)

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

2,692,378 1,346,189 4,038,568 2,019,284 1,009,642 504,821 1,514,464 757,232 378,616 189,308 94,654 47,327 141,982 70,991 212,974 106,487 319,462 159,731 479,194 239,597 718,792 359,396 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848

More profiles

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