λ
Sequence Observatory

4,532,226

2 × 3 × 755371
Abundant Even Composite

Starting at 4,532,226, the Collatz iteration reaches 1 after 87 steps. The first transition is 2266113; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 755371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,064,464
Proper Divisor Sum 4,532,238
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4532221 ← → #4532233

Radix Representation

Decimal 4532226
Binary 10001010010100000000010 (23 bits)
Octal 0o21224002
Hexadecimal 0x452802

Divisor Catalog (8)

1 2 3 6 755,371 1,510,742 2,266,113 4,532,226

Collatz Trajectory (87 steps to reach 1)

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

4,532,226 2,266,113 6,798,340 3,399,170 1,699,585 5,098,756 2,549,378 1,274,689 3,824,068 1,912,034 956,017 2,868,052 1,434,026 717,013 2,151,040 1,075,520 537,760 268,880 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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