2,345,216

2⁸ × 9161

Starting at 2,345,216, the Collatz iteration reaches 1 after 161 steps. The first transition is 1172608; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 9161

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 4,681,782

Proper Divisor Sum 2,336,566

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2345209 ← → #2345219

Radix Representation

Decimal	2345216
Binary	1000111100100100000000 (22 bits)
Octal	0o10744400
Hexadecimal	0x23C900

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 9,161 18,322 36,644 73,288 146,576 293,152 586,304 1,172,608 2,345,216

Collatz Trajectory (161 steps to reach 1)

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

2,345,216 1,172,608 586,304 293,152 146,576 73,288 36,644 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71

← Previous Integer #2,345,215 Browse Full Index Next Integer #2,345,217 →