λ
Sequence Observatory

4,442,118

2 × 3 × 151 × 4903
Abundant Even Composite

Starting at 4,442,118, the Collatz iteration reaches 1 after 167 steps. The first transition is 2221059; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 151 × 4903
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,944,896
Proper Divisor Sum 4,502,778
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4442107 ← → #4442131

Radix Representation

Decimal 4442118
Binary 10000111100100000000110 (23 bits)
Octal 0o20744006
Hexadecimal 0x43C806

Divisor Catalog (16)

1 2 3 6 151 302 453 906 4,903 9,806 14,709 29,418 740,353 1,480,706 2,221,059 4,442,118

Collatz Trajectory (167 steps to reach 1)

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

4,442,118 2,221,059 6,663,178 3,331,589 9,994,768 4,997,384 2,498,692 1,249,346 624,673 1,874,020 937,010 468,505 1,405,516 702,758 351,379 1,054,138 527,069 1,581,208 790,604 395,302 197,651 592,954 296,477 889,432 444,716 222,358 111,179 333,538 166,769 500,308 250,154 125,077 375,232 187,616 93,808 46,904 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181

More profiles

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