2,727,212

2² × 409 × 1667

Starting at 2,727,212, the Collatz iteration reaches 1 after 63 steps. The first transition is 1363606; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 409 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,787,160

Proper Divisor Sum 2,059,948

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2727209 ← → #2727223

Radix Representation

Decimal	2727212
Binary	1010011001110100101100 (22 bits)
Octal	0o12316454
Hexadecimal	0x299D2C

Divisor Catalog (12)

1 2 4 409 818 1,636 1,667 3,334 6,668 681,803 1,363,606 2,727,212

Collatz Trajectory (63 steps to reach 1)

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

2,727,212 1,363,606 681,803 2,045,410 1,022,705 3,068,116 1,534,058 767,029 2,301,088 1,150,544 575,272 287,636 143,818 71,909 215,728 107,864 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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