8,047,414

2 × 31² × 53 × 79

Starting at 8,047,414, the Collatz iteration reaches 1 after 137 steps. The first transition is 4023707; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 31^2 × 53 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,869,280

Proper Divisor Sum 4,821,866

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8047399 ← → #8047451

Radix Representation

Decimal	8047414
Binary	11110101100101100110110 (23 bits)
Octal	0o36545466
Hexadecimal	0x7ACB36

Divisor Catalog (24)

1 2 31 53 62 79 106 158 961 1,643 1,922 2,449 3,286 4,187 4,898 8,374 50,933 75,919 101,866 129,797 151,838 259,594 4,023,707 8,047,414

Collatz Trajectory (137 steps to reach 1)

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

8,047,414 4,023,707 12,071,122 6,035,561 18,106,684 9,053,342 4,526,671 13,580,014 6,790,007 20,370,022 10,185,011 30,555,034 15,277,517 45,832,552 22,916,276 11,458,138 5,729,069 17,187,208 8,593,604 4,296,802 2,148,401 6,445,204 3,222,602 1,611,301 4,833,904 2,416,952 1,208,476 604,238 302,119 906,358 453,179 1,359,538 679,769 2,039,308 1,019,654 509,827 1,529,482 764,741 2,294,224 1,147,112 573,556 286,778 143,389 430,168 215,084 107,542 53,771 161,314 80,657 241,972 120,986 60,493 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507

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