2,052,222

2 × 3 × 342037

Starting at 2,052,222, the Collatz iteration reaches 1 after 104 steps. The first transition is 1026111; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 342037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,104,456

Proper Divisor Sum 2,052,234

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2052217 ← → #2052311

Radix Representation

Decimal	2052222
Binary	111110101000001111110 (21 bits)
Octal	0o7650176
Hexadecimal	0x1F507E

Divisor Catalog (8)

1 2 3 6 342,037 684,074 1,026,111 2,052,222

Collatz Trajectory (104 steps to reach 1)

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

2,052,222 1,026,111 3,078,334 1,539,167 4,617,502 2,308,751 6,926,254 3,463,127 10,389,382 5,194,691 15,584,074 7,792,037 23,376,112 11,688,056 5,844,028 2,922,014 1,461,007 4,383,022 2,191,511 6,574,534 3,287,267 9,861,802 4,930,901 14,792,704 7,396,352 3,698,176 1,849,088 924,544 462,272 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170

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