λ
Prime Ledger

2,556,956

22 × 23 × 27793
Deficient Even Composite

2,556,956 has the prime decomposition 2^2 × 23 × 27793. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 27793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,669,392
Proper Divisor Sum 2,112,436
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2556943 ← → #2556977

Radix Representation

Decimal 2556956
Binary 1001110000010000011100 (22 bits)
Octal 0o11602034
Hexadecimal 0x27041C

Divisor Catalog (12)

1 2 4 23 46 92 27,793 55,586 111,172 639,239 1,278,478 2,556,956

Collatz Trajectory (218 steps to reach 1)

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

2,556,956 1,278,478 639,239 1,917,718 958,859 2,876,578 1,438,289 4,314,868 2,157,434 1,078,717 3,236,152 1,618,076 809,038 404,519 1,213,558 606,779 1,820,338 910,169 2,730,508 1,365,254 682,627 2,047,882 1,023,941 3,071,824 1,535,912 767,956 383,978 191,989 575,968 287,984 143,992 71,996 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220

More profiles

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