4,221,066

2 × 3 × 17 × 29 × 1427

Starting at 4,221,066, the Collatz iteration reaches 1 after 167 steps. The first transition is 2110533; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 29 × 1427

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,253,440

Proper Divisor Sum 5,032,374

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4221047 ← → #4221109

Radix Representation

Decimal	4221066
Binary	10000000110100010001010 (23 bits)
Octal	0o20064212
Hexadecimal	0x40688A

Divisor Catalog (32)

1 2 3 6 17 29 34 51 58 87 102 174 493 986 1,427 1,479 2,854 2,958 4,281 8,562 24,259 41,383 48,518 72,777 82,766 124,149 145,554 248,298 703,511 1,407,022 2,110,533 4,221,066

Collatz Trajectory (167 steps to reach 1)

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

4,221,066 2,110,533 6,331,600 3,165,800 1,582,900 791,450 395,725 1,187,176 593,588 296,794 148,397 445,192 222,596 111,298 55,649 166,948 83,474 41,737 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124

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