7,964,919

3³ × 294997

Starting at 7,964,919, the Collatz iteration reaches 1 after 67 steps. The first transition is 23894758; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 294997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,799,920

Proper Divisor Sum 3,835,001

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7964909 ← → #7964921

Radix Representation

Decimal	7964919
Binary	11110011000100011110111 (23 bits)
Octal	0o36304367
Hexadecimal	0x7988F7

Divisor Catalog (8)

1 3 9 27 294,997 884,991 2,654,973 7,964,919

Collatz Trajectory (67 steps to reach 1)

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

7,964,919 23,894,758 11,947,379 35,842,138 17,921,069 53,763,208 26,881,604 13,440,802 6,720,401 20,161,204 10,080,602 5,040,301 15,120,904 7,560,452 3,780,226 1,890,113 5,670,340 2,835,170 1,417,585 4,252,756 2,126,378 1,063,189 3,189,568 1,594,784 797,392 398,696 199,348 99,674 49,837 149,512 74,756 37,378 18,689 56,068 28,034 14,017 42,052 21,026 10,513 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40

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