2,213,712

2⁴ × 3² × 15373

Starting at 2,213,712, the Collatz iteration reaches 1 after 60 steps. The first transition is 1106856; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 15373

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 6,195,722

Proper Divisor Sum 3,982,010

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2213711 ← → #2213759

Radix Representation

Decimal	2213712
Binary	1000011100011101010000 (22 bits)
Octal	0o10343520
Hexadecimal	0x21C750

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15,373 30,746 46,119 61,492 92,238 122,984 138,357 184,476 245,968 276,714 368,952 553,428 737,904 1,106,856 2,213,712

Collatz Trajectory (60 steps to reach 1)

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

2,213,712 1,106,856 553,428 276,714 138,357 415,072 207,536 103,768 51,884 25,942 12,971 38,914 19,457 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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