2,226,528

2⁵ × 3⁴ × 859

Starting at 2,226,528, the Collatz iteration reaches 1 after 55 steps. The first transition is 1113264; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 859

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 6,555,780

Proper Divisor Sum 4,329,252

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2226527 ← → #2226529

Radix Representation

Decimal	2226528
Binary	1000011111100101100000 (22 bits)
Octal	0o10374540
Hexadecimal	0x21F960

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 859 864 1,296 1,718 2,577 2,592 3,436 5,154 6,872 7,731 10,308 13,744 15,462 20,616 23,193 27,488 30,924 41,232 46,386 61,848 69,579 82,464 92,772 123,696 139,158 185,544 247,392 278,316 371,088 556,632 742,176 1,113,264 2,226,528

Collatz Trajectory (55 steps to reach 1)

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

2,226,528 1,113,264 556,632 278,316 139,158 69,579 208,738 104,369 313,108 156,554 78,277 234,832 117,416 58,708 29,354 14,677 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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