λ
Sequence Observatory

5,311,964

22 × 7 × 189713
Abundant Even Composite

Starting at 5,311,964, the Collatz iteration reaches 1 after 126 steps. The first transition is 2655982; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 189713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,623,984
Proper Divisor Sum 5,312,020
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5311951 ← → #5311993

Radix Representation

Decimal 5311964
Binary 10100010000110111011100 (23 bits)
Octal 0o24206734
Hexadecimal 0x510DDC

Divisor Catalog (12)

1 2 4 7 14 28 189,713 379,426 758,852 1,327,991 2,655,982 5,311,964

Collatz Trajectory (126 steps to reach 1)

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

5,311,964 2,655,982 1,327,991 3,983,974 1,991,987 5,975,962 2,987,981 8,963,944 4,481,972 2,240,986 1,120,493 3,361,480 1,680,740 840,370 420,185 1,260,556 630,278 315,139 945,418 472,709 1,418,128 709,064 354,532 177,266 88,633 265,900 132,950 66,475 199,426 99,713 299,140 149,570 74,785 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162

More profiles

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