8,442,028

2² × 7 × 301501

Starting at 8,442,028, the Collatz iteration reaches 1 after 106 steps. The first transition is 4221014; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 301501

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,884,112

Proper Divisor Sum 8,442,084

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8442011 ← → #8442029

Radix Representation

Decimal	8442028
Binary	100000001101000010101100 (24 bits)
Octal	0o40150254
Hexadecimal	0x80D0AC

Divisor Catalog (12)

1 2 4 7 14 28 301,501 603,002 1,206,004 2,110,507 4,221,014 8,442,028

Collatz Trajectory (106 steps to reach 1)

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

8,442,028 4,221,014 2,110,507 6,331,522 3,165,761 9,497,284 4,748,642 2,374,321 7,122,964 3,561,482 1,780,741 5,342,224 2,671,112 1,335,556 667,778 333,889 1,001,668 500,834 250,417 751,252 375,626 187,813 563,440 281,720 140,860 70,430 35,215 105,646 52,823 158,470 79,235 237,706 118,853 356,560 178,280 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930

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