2,586,648

2³ × 3 × 107777

Starting at 2,586,648, the Collatz iteration reaches 1 after 81 steps. The first transition is 1293324; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 107777

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,466,680

Proper Divisor Sum 3,880,032

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2586643 ← → #2586659

Radix Representation

Decimal	2586648
Binary	1001110111100000011000 (22 bits)
Octal	0o11674030
Hexadecimal	0x277818

Divisor Catalog (16)

1 2 3 4 6 8 12 24 107,777 215,554 323,331 431,108 646,662 862,216 1,293,324 2,586,648

Collatz Trajectory (81 steps to reach 1)

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

2,586,648 1,293,324 646,662 323,331 969,994 484,997 1,454,992 727,496 363,748 181,874 90,937 272,812 136,406 68,203 204,610 102,305 306,916 153,458 76,729 230,188 115,094 57,547 172,642 86,321 258,964 129,482 64,741 194,224 97,112 48,556 24,278 12,139 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76

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