λ
Sequence Observatory

4,302,243

32 × 11 × 43457
Deficient Odd Composite

Starting at 4,302,243, the Collatz iteration reaches 1 after 74 steps. The first transition is 12906730; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 43457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,779,448
Proper Divisor Sum 2,477,205
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4302229 ← → #4302247

Radix Representation

Decimal 4302243
Binary 10000011010010110100011 (23 bits)
Octal 0o20322643
Hexadecimal 0x41A5A3

Divisor Catalog (12)

1 3 9 11 33 99 43,457 130,371 391,113 478,027 1,434,081 4,302,243

Collatz Trajectory (74 steps to reach 1)

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

4,302,243 12,906,730 6,453,365 19,360,096 9,680,048 4,840,024 2,420,012 1,210,006 605,003 1,815,010 907,505 2,722,516 1,361,258 680,629 2,041,888 1,020,944 510,472 255,236 127,618 63,809 191,428 95,714 47,857 143,572 71,786 35,893 107,680 53,840 26,920 13,460 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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