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4,406,402

2 × 7 × 11 × 13 × 31 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 31 × 71
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,289,728
Proper Divisor Sum 4,883,326
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4406401 ← → #4406411

Radix Representation

Decimal 4406402
Binary 10000110011110010000010 (23 bits)
Octal 0o20636202
Hexadecimal 0x433C82

Divisor Catalog (60 of 64)

1 2 7 11 13 14 22 26 31 62 71 77 91 142 143 154 182 217 286 341 403 434 497 682 781 806 923 994 1,001 1,562 1,846 2,002 2,201 2,387 2,821 4,402 4,433 4,774 5,467 5,642 6,461 8,866 10,153 10,934 12,922 15,407 20,306 24,211 28,613 30,814 31,031 48,422 57,226 62,062 71,071 142,142 169,477 200,291 314,743 338,954

Collatz Trajectory (87 steps to reach 1)

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

4,406,402 2,203,201 6,609,604 3,304,802 1,652,401 4,957,204 2,478,602 1,239,301 3,717,904 1,858,952 929,476 464,738 232,369 697,108 348,554 174,277 522,832 261,416 130,708 65,354 32,677 98,032 49,016 24,508 12,254 6,127 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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