4,213,521

3² × 13 × 36013

4,213,521 has digital root 9. The neighboring primes are 4213519 and 4213543; its proper-divisor sum differs from the starting integer by -1,872,494.

Prime Factor Structure

Factorization String 3^2 × 13 × 36013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,554,548

Proper Divisor Sum 2,341,027

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4213519 ← → #4213543

Radix Representation

Decimal	4213521
Binary	10000000100101100010001 (23 bits)
Octal	0o20045421
Hexadecimal	0x404B11

Divisor Catalog (12)

1 3 9 13 39 117 36,013 108,039 324,117 468,169 1,404,507 4,213,521

Collatz Trajectory (154 steps to reach 1)

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

4,213,521 12,640,564 6,320,282 3,160,141 9,480,424 4,740,212 2,370,106 1,185,053 3,555,160 1,777,580 888,790 444,395 1,333,186 666,593 1,999,780 999,890 499,945 1,499,836 749,918 374,959 1,124,878 562,439 1,687,318 843,659 2,530,978 1,265,489 3,796,468 1,898,234 949,117 2,847,352 1,423,676 711,838 355,919 1,067,758 533,879 1,601,638 800,819 2,402,458 1,201,229 3,603,688 1,801,844 900,922 450,461 1,351,384 675,692 337,846 168,923 506,770 253,385 760,156 380,078 190,039 570,118 285,059 855,178 427,589 1,282,768 641,384 320,692 160,346

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