3,647,478

2 × 3 × 23 × 26431

Starting at 3,647,478, the Collatz iteration reaches 1 after 141 steps. The first transition is 1823739; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 26431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,612,416

Proper Divisor Sum 3,964,938

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3647477 ← → #3647489

Radix Representation

Decimal	3647478
Binary	1101111010011111110110 (22 bits)
Octal	0o15723766
Hexadecimal	0x37A7F6

Divisor Catalog (16)

1 2 3 6 23 46 69 138 26,431 52,862 79,293 158,586 607,913 1,215,826 1,823,739 3,647,478

Collatz Trajectory (141 steps to reach 1)

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

3,647,478 1,823,739 5,471,218 2,735,609 8,206,828 4,103,414 2,051,707 6,155,122 3,077,561 9,232,684 4,616,342 2,308,171 6,924,514 3,462,257 10,386,772 5,193,386 2,596,693 7,790,080 3,895,040 1,947,520 973,760 486,880 243,440 121,720 60,860 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832

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