4,941,927

3² × 31 × 17713

Starting at 4,941,927, the Collatz iteration reaches 1 after 193 steps. The first transition is 14825782; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 17713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,369,024

Proper Divisor Sum 2,427,097

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4941913 ← → #4941929

Radix Representation

Decimal	4941927
Binary	10010110110100001100111 (23 bits)
Octal	0o22664147
Hexadecimal	0x4B6867

Divisor Catalog (12)

1 3 9 31 93 279 17,713 53,139 159,417 549,103 1,647,309 4,941,927

Collatz Trajectory (193 steps to reach 1)

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

4,941,927 14,825,782 7,412,891 22,238,674 11,119,337 33,358,012 16,679,006 8,339,503 25,018,510 12,509,255 37,527,766 18,763,883 56,291,650 28,145,825 84,437,476 42,218,738 21,109,369 63,328,108 31,664,054 15,832,027 47,496,082 23,748,041 71,244,124 35,622,062 17,811,031 53,433,094 26,716,547 80,149,642 40,074,821 120,224,464 60,112,232 30,056,116 15,028,058 7,514,029 22,542,088 11,271,044 5,635,522 2,817,761 8,453,284 4,226,642 2,113,321 6,339,964 3,169,982 1,584,991 4,754,974 2,377,487 7,132,462 3,566,231 10,698,694 5,349,347 16,048,042 8,024,021 24,072,064 12,036,032 6,018,016 3,009,008 1,504,504 752,252 376,126 188,063

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