4,213,989

3² × 13 × 36017

4,213,989 has digital root 9. The neighboring primes are 4213969 and 4213999; its proper-divisor sum differs from the starting integer by -1,872,702.

Prime Factor Structure

Factorization String 3^2 × 13 × 36017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,555,276

Proper Divisor Sum 2,341,287

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4213969 ← → #4213999

Radix Representation

Decimal	4213989
Binary	10000000100110011100101 (23 bits)
Octal	0o20046345
Hexadecimal	0x404CE5

Divisor Catalog (12)

1 3 9 13 39 117 36,017 108,051 324,153 468,221 1,404,663 4,213,989

Collatz Trajectory (128 steps to reach 1)

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

4,213,989 12,641,968 6,320,984 3,160,492 1,580,246 790,123 2,370,370 1,185,185 3,555,556 1,777,778 888,889 2,666,668 1,333,334 666,667 2,000,002 1,000,001 3,000,004 1,500,002 750,001 2,250,004 1,125,002 562,501 1,687,504 843,752 421,876 210,938 105,469 316,408 158,204 79,102 39,551 118,654 59,327 177,982 88,991 266,974 133,487 400,462 200,231 600,694 300,347 901,042 450,521 1,351,564 675,782 337,891 1,013,674 506,837 1,520,512 760,256 380,128 190,064 95,032 47,516 23,758 11,879 35,638 17,819 53,458 26,729

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