λ
Sequence Observatory

8,627,614

2 × 4313807
Deficient Even Composite

Starting at 8,627,614, the Collatz iteration reaches 1 after 124 steps. The first transition is 4313807; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 4313807
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,941,424
Proper Divisor Sum 4,313,810
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8627611 ← → #8627617

Radix Representation

Decimal 8627614
Binary 100000111010010110011110 (24 bits)
Octal 0o40722636
Hexadecimal 0x83A59E

Divisor Catalog (4)

1 2 4,313,807 8,627,614

Collatz Trajectory (124 steps to reach 1)

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

8,627,614 4,313,807 12,941,422 6,470,711 19,412,134 9,706,067 29,118,202 14,559,101 43,677,304 21,838,652 10,919,326 5,459,663 16,378,990 8,189,495 24,568,486 12,284,243 36,852,730 18,426,365 55,279,096 27,639,548 13,819,774 6,909,887 20,729,662 10,364,831 31,094,494 15,547,247 46,641,742 23,320,871 69,962,614 34,981,307 104,943,922 52,471,961 157,415,884 78,707,942 39,353,971 118,061,914 59,030,957 177,092,872 88,546,436 44,273,218 22,136,609 66,409,828 33,204,914 16,602,457 49,807,372 24,903,686 12,451,843 37,355,530 18,677,765 56,033,296 28,016,648 14,008,324 7,004,162 3,502,081 10,506,244 5,253,122 2,626,561 7,879,684 3,939,842 1,969,921

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