λ
Sequence Observatory

2,187,234

2 × 32 × 7 × 17359
Abundant Even Composite

Starting at 2,187,234, the Collatz iteration reaches 1 after 210 steps. The first transition is 1093617; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,416,320
Proper Divisor Sum 3,229,086
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2187233 ← → #2187247

Radix Representation

Decimal 2187234
Binary 1000010101111111100010 (22 bits)
Octal 0o10257742
Hexadecimal 0x215FE2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 17,359 34,718 52,077 104,154 121,513 156,231 243,026 312,462 364,539 729,078 1,093,617 2,187,234

Collatz Trajectory (210 steps to reach 1)

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

2,187,234 1,093,617 3,280,852 1,640,426 820,213 2,460,640 1,230,320 615,160 307,580 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523 778,570 389,285 1,167,856 583,928 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243

More profiles

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