λ
Sequence Observatory

8,729,727

3 × 2909909
Deficient Odd Composite

Starting at 8,729,727, the Collatz iteration reaches 1 after 349 steps. The first transition is 26189182; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2909909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,639,640
Proper Divisor Sum 2,909,913
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8729717 ← → #8729729

Radix Representation

Decimal 8729727
Binary 100001010011010001111111 (24 bits)
Octal 0o41232177
Hexadecimal 0x85347F

Divisor Catalog (4)

1 3 2,909,909 8,729,727

Collatz Trajectory (349 steps to reach 1)

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

8,729,727 26,189,182 13,094,591 39,283,774 19,641,887 58,925,662 29,462,831 88,388,494 44,194,247 132,582,742 66,291,371 198,874,114 99,437,057 298,311,172 149,155,586 74,577,793 223,733,380 111,866,690 55,933,345 167,800,036 83,900,018 41,950,009 125,850,028 62,925,014 31,462,507 94,387,522 47,193,761 141,581,284 70,790,642 35,395,321 106,185,964 53,092,982 26,546,491 79,639,474 39,819,737 119,459,212 59,729,606 29,864,803 89,594,410 44,797,205 134,391,616 67,195,808 33,597,904 16,798,952 8,399,476 4,199,738 2,099,869 6,299,608 3,149,804 1,574,902 787,451 2,362,354 1,181,177 3,543,532 1,771,766 885,883 2,657,650 1,328,825 3,986,476 1,993,238

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