λ
Sequence Observatory

5,826,620

22 × 5 × 291331
Abundant Even Composite

Starting at 5,826,620, the Collatz iteration reaches 1 after 214 steps. The first transition is 2913310; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 291331
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,235,944
Proper Divisor Sum 6,409,324
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5826599 ← → #5826643

Radix Representation

Decimal 5826620
Binary 10110001110100000111100 (23 bits)
Octal 0o26164074
Hexadecimal 0x58E83C

Divisor Catalog (12)

1 2 4 5 10 20 291,331 582,662 1,165,324 1,456,655 2,913,310 5,826,620

Collatz Trajectory (214 steps to reach 1)

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

5,826,620 2,913,310 1,456,655 4,369,966 2,184,983 6,554,950 3,277,475 9,832,426 4,916,213 14,748,640 7,374,320 3,687,160 1,843,580 921,790 460,895 1,382,686 691,343 2,074,030 1,037,015 3,111,046 1,555,523 4,666,570 2,333,285 6,999,856 3,499,928 1,749,964 874,982 437,491 1,312,474 656,237 1,968,712 984,356 492,178 246,089 738,268 369,134 184,567 553,702 276,851 830,554 415,277 1,245,832 622,916 311,458 155,729 467,188 233,594 116,797 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956

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