2,068,642

2 × 601 × 1721

Starting at 2,068,642, the Collatz iteration reaches 1 after 78 steps. The first transition is 1034321; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 601 × 1721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,109,932

Proper Divisor Sum 1,041,290

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2068639 ← → #2068667

Radix Representation

Decimal	2068642
Binary	111111001000010100010 (21 bits)
Octal	0o7710242
Hexadecimal	0x1F90A2

Divisor Catalog (8)

1 2 601 1,202 1,721 3,442 1,034,321 2,068,642

Collatz Trajectory (78 steps to reach 1)

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

2,068,642 1,034,321 3,102,964 1,551,482 775,741 2,327,224 1,163,612 581,806 290,903 872,710 436,355 1,309,066 654,533 1,963,600 981,800 490,900 245,450 122,725 368,176 184,088 92,044 46,022 23,011 69,034 34,517 103,552 51,776 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61

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