2,113,594

2 × 7 × 223 × 677

Starting at 2,113,594, the Collatz iteration reaches 1 after 104 steps. The first transition is 1056797; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 223 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,644,928

Proper Divisor Sum 1,531,334

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2113583 ← → #2113603

Radix Representation

Decimal	2113594
Binary	1000000100000000111010 (22 bits)
Octal	0o10040072
Hexadecimal	0x20403A

Divisor Catalog (16)

1 2 7 14 223 446 677 1,354 1,561 3,122 4,739 9,478 150,971 301,942 1,056,797 2,113,594

Collatz Trajectory (104 steps to reach 1)

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

2,113,594 1,056,797 3,170,392 1,585,196 792,598 396,299 1,188,898 594,449 1,783,348 891,674 445,837 1,337,512 668,756 334,378 167,189 501,568 250,784 125,392 62,696 31,348 15,674 7,837 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512

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