2,242,947

3 × 7 × 29² × 127

Starting at 2,242,947, the Collatz iteration reaches 1 after 223 steps. The first transition is 6728842; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 29^2 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,567,616

Proper Divisor Sum 1,324,669

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2242939 ← → #2242949

Radix Representation

Decimal	2242947
Binary	1000100011100110000011 (22 bits)
Octal	0o10434603
Hexadecimal	0x223983

Divisor Catalog (24)

1 3 7 21 29 87 127 203 381 609 841 889 2,523 2,667 3,683 5,887 11,049 17,661 25,781 77,343 106,807 320,421 747,649 2,242,947

Collatz Trajectory (223 steps to reach 1)

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

2,242,947 6,728,842 3,364,421 10,093,264 5,046,632 2,523,316 1,261,658 630,829 1,892,488 946,244 473,122 236,561 709,684 354,842 177,421 532,264 266,132 133,066 66,533 199,600 99,800 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375

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