6,310,941

3 × 7 × 13 × 23117

Starting at 6,310,941, the Collatz iteration reaches 1 after 165 steps. The first transition is 18932824; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 23117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,356,864

Proper Divisor Sum 4,045,923

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6310939 ← → #6310943

Radix Representation

Decimal	6310941
Binary	11000000100110000011101 (23 bits)
Octal	0o30046035
Hexadecimal	0x604C1D

Divisor Catalog (16)

1 3 7 13 21 39 91 273 23,117 69,351 161,819 300,521 485,457 901,563 2,103,647 6,310,941

Collatz Trajectory (165 steps to reach 1)

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

6,310,941 18,932,824 9,466,412 4,733,206 2,366,603 7,099,810 3,549,905 10,649,716 5,324,858 2,662,429 7,987,288 3,993,644 1,996,822 998,411 2,995,234 1,497,617 4,492,852 2,246,426 1,123,213 3,369,640 1,684,820 842,410 421,205 1,263,616 631,808 315,904 157,952 78,976 39,488 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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