λ
Sequence Observatory

2,633,380

22 × 5 × 353 × 373
Abundant Even Composite

Starting at 2,633,380, the Collatz iteration reaches 1 after 68 steps. The first transition is 1316690; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 353 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,560,632
Proper Divisor Sum 2,927,252
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2633359 ← → #2633387

Radix Representation

Decimal 2633380
Binary 1010000010111010100100 (22 bits)
Octal 0o12027244
Hexadecimal 0x282EA4

Divisor Catalog (24)

1 2 4 5 10 20 353 373 706 746 1,412 1,492 1,765 1,865 3,530 3,730 7,060 7,460 131,669 263,338 526,676 658,345 1,316,690 2,633,380

Collatz Trajectory (68 steps to reach 1)

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

2,633,380 1,316,690 658,345 1,975,036 987,518 493,759 1,481,278 740,639 2,221,918 1,110,959 3,332,878 1,666,439 4,999,318 2,499,659 7,498,978 3,749,489 11,248,468 5,624,234 2,812,117 8,436,352 4,218,176 2,109,088 1,054,544 527,272 263,636 131,818 65,909 197,728 98,864 49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80

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