1,847,616

2⁶ × 3 × 9623

Starting at 1,847,616, the Collatz iteration reaches 1 after 52 steps. The first transition is 923808; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 9623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 4,888,992

Proper Divisor Sum 3,041,376

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1847609 ← → #1847623

Radix Representation

Decimal	1847616
Binary	111000011000101000000 (21 bits)
Octal	0o7030500
Hexadecimal	0x1C3140

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 9,623 19,246 28,869 38,492 57,738 76,984 115,476 153,968 230,952 307,936 461,904 615,872 923,808 1,847,616

Collatz Trajectory (52 steps to reach 1)

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

1,847,616 923,808 461,904 230,952 115,476 57,738 28,869 86,608 43,304 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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