2,226,728

2³ × 7 × 17 × 2339

Starting at 2,226,728, the Collatz iteration reaches 1 after 210 steps. The first transition is 1113364; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 2339

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,054,400

Proper Divisor Sum 2,827,672

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2226713 ← → #2226733

Radix Representation

Decimal	2226728
Binary	1000011111101000101000 (22 bits)
Octal	0o10375050
Hexadecimal	0x21FA28

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2,339 4,678 9,356 16,373 18,712 32,746 39,763 65,492 79,526 130,984 159,052 278,341 318,104 556,682 1,113,364 2,226,728

Collatz Trajectory (210 steps to reach 1)

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

2,226,728 1,113,364 556,682 278,341 835,024 417,512 208,756 104,378 52,189 156,568 78,284 39,142 19,571 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886

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