λ
Integer Codex

2,734,394

2 × 13 × 251 × 419
Deficient Even Composite

For 2,734,394, the 16 positive divisors have a total of 4,445,280. Removing 2,734,394 leaves 1,710,886, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 251 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,445,280
Proper Divisor Sum 1,710,886
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2734393 ← → #2734397

Radix Representation

Decimal 2734394
Binary 1010011011100100111010 (22 bits)
Octal 0o12334472
Hexadecimal 0x29B93A

Divisor Catalog (16)

1 2 13 26 251 419 502 838 3,263 5,447 6,526 10,894 105,169 210,338 1,367,197 2,734,394

Collatz Trajectory (218 steps to reach 1)

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

2,734,394 1,367,197 4,101,592 2,050,796 1,025,398 512,699 1,538,098 769,049 2,307,148 1,153,574 576,787 1,730,362 865,181 2,595,544 1,297,772 648,886 324,443 973,330 486,665 1,459,996 729,998 364,999 1,094,998 547,499 1,642,498 821,249 2,463,748 1,231,874 615,937 1,847,812 923,906 461,953 1,385,860 692,930 346,465 1,039,396 519,698 259,849 779,548 389,774 194,887 584,662 292,331 876,994 438,497 1,315,492 657,746 328,873 986,620 493,310 246,655 739,966 369,983 1,109,950 554,975 1,664,926 832,463 2,497,390 1,248,695 3,746,086

More profiles

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