λ
Sequence Observatory

2,245,650

2 × 3 × 52 × 11 × 1361
Abundant Even Composite

Starting at 2,245,650, the Collatz iteration reaches 1 after 86 steps. The first transition is 1122825; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 1361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,079,968
Proper Divisor Sum 3,834,318
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2245643 ← → #2245657

Radix Representation

Decimal 2245650
Binary 1000100100010000010010 (22 bits)
Octal 0o10442022
Hexadecimal 0x224412

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,361 1,650 2,722 4,083 6,805 8,166 13,610 14,971 20,415 29,942 34,025 40,830 44,913 68,050 74,855 89,826 102,075 149,710 204,150 224,565 374,275 449,130 748,550 1,122,825 2,245,650

Collatz Trajectory (86 steps to reach 1)

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

2,245,650 1,122,825 3,368,476 1,684,238 842,119 2,526,358 1,263,179 3,789,538 1,894,769 5,684,308 2,842,154 1,421,077 4,263,232 2,131,616 1,065,808 532,904 266,452 133,226 66,613 199,840 99,920 49,960 24,980 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

More profiles

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