λ
Sequence Observatory

3,212,496

24 × 32 × 7 × 3187
Abundant Even Composite

Starting at 3,212,496, the Collatz iteration reaches 1 after 71 steps. The first transition is 1606248; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 3187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,278,112
Proper Divisor Sum 7,065,616
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3212483 ← → #3212509

Radix Representation

Decimal 3212496
Binary 1100010000010011010000 (22 bits)
Octal 0o14202320
Hexadecimal 0x3104D0

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 3,187 6,374 9,561 12,748 19,122 22,309 25,496 28,683 38,244 44,618 50,992 57,366 66,927 76,488 89,236 114,732 133,854 152,976 178,472 200,781 229,464 267,708 356,944 401,562 458,928 535,416 803,124 1,070,832 1,606,248 3,212,496

Collatz Trajectory (71 steps to reach 1)

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

3,212,496 1,606,248 803,124 401,562 200,781 602,344 301,172 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

More profiles

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