7,114,947

3 × 7² × 29 × 1669

Starting at 7,114,947, the Collatz iteration reaches 1 after 209 steps. The first transition is 21344842; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,422,800

Proper Divisor Sum 4,307,853

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7114937 ← → #7114951

Radix Representation

Decimal	7114947
Binary	11011001001000011000011 (23 bits)
Octal	0o33110303
Hexadecimal	0x6C90C3

Divisor Catalog (24)

1 3 7 21 29 49 87 147 203 609 1,421 1,669 4,263 5,007 11,683 35,049 48,401 81,781 145,203 245,343 338,807 1,016,421 2,371,649 7,114,947

Collatz Trajectory (209 steps to reach 1)

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

7,114,947 21,344,842 10,672,421 32,017,264 16,008,632 8,004,316 4,002,158 2,001,079 6,003,238 3,001,619 9,004,858 4,502,429 13,507,288 6,753,644 3,376,822 1,688,411 5,065,234 2,532,617 7,597,852 3,798,926 1,899,463 5,698,390 2,849,195 8,547,586 4,273,793 12,821,380 6,410,690 3,205,345 9,616,036 4,808,018 2,404,009 7,212,028 3,606,014 1,803,007 5,409,022 2,704,511 8,113,534 4,056,767 12,170,302 6,085,151 18,255,454 9,127,727 27,383,182 13,691,591 41,074,774 20,537,387 61,612,162 30,806,081 92,418,244 46,209,122 23,104,561 69,313,684 34,656,842 17,328,421 51,985,264 25,992,632 12,996,316 6,498,158 3,249,079 9,747,238

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