λ
Sequence Observatory

2,157,234

2 × 3 × 359539
Abundant Even Composite

Starting at 2,157,234, the Collatz iteration reaches 1 after 117 steps. The first transition is 1078617; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 359539
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,314,480
Proper Divisor Sum 2,157,246
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2157229 ← → #2157247

Radix Representation

Decimal 2157234
Binary 1000001110101010110010 (22 bits)
Octal 0o10165262
Hexadecimal 0x20EAB2

Divisor Catalog (8)

1 2 3 6 359,539 719,078 1,078,617 2,157,234

Collatz Trajectory (117 steps to reach 1)

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

2,157,234 1,078,617 3,235,852 1,617,926 808,963 2,426,890 1,213,445 3,640,336 1,820,168 910,084 455,042 227,521 682,564 341,282 170,641 511,924 255,962 127,981 383,944 191,972 95,986 47,993 143,980 71,990 35,995 107,986 53,993 161,980 80,990 40,495 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684

More profiles

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