λ
Prime Ledger

1,112,094

2 × 32 × 31 × 1993
Abundant Even Composite

1,112,094 has the prime decomposition 2 × 3^2 × 31 × 1993. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,488,512
Proper Divisor Sum 1,376,418
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1112093 ← → #1112107

Radix Representation

Decimal 1112094
Binary 100001111100000011110 (21 bits)
Octal 0o4174036
Hexadecimal 0x10F81E

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 1,993 3,986 5,979 11,958 17,937 35,874 61,783 123,566 185,349 370,698 556,047 1,112,094

Collatz Trajectory (116 steps to reach 1)

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

1,112,094 556,047 1,668,142 834,071 2,502,214 1,251,107 3,753,322 1,876,661 5,629,984 2,814,992 1,407,496 703,748 351,874 175,937 527,812 263,906 131,953 395,860 197,930 98,965 296,896 148,448 74,224 37,112 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057

More profiles

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