λ
Sequence Observatory

5,160,450

2 × 3 × 52 × 34403
Abundant Even Composite

Starting at 5,160,450, the Collatz iteration reaches 1 after 100 steps. The first transition is 2580225; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 34403
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,798,288
Proper Divisor Sum 7,637,838
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5160439 ← → #5160461

Radix Representation

Decimal 5160450
Binary 10011101011111000000010 (23 bits)
Octal 0o23537002
Hexadecimal 0x4EBE02

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 34,403 68,806 103,209 172,015 206,418 344,030 516,045 860,075 1,032,090 1,720,150 2,580,225 5,160,450

Collatz Trajectory (100 steps to reach 1)

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

5,160,450 2,580,225 7,740,676 3,870,338 1,935,169 5,805,508 2,902,754 1,451,377 4,354,132 2,177,066 1,088,533 3,265,600 1,632,800 816,400 408,200 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910

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