λ
Sigma Notebook

2,213,252

22 × 89 × 6217
Deficient Even Composite

2,213,252 is even and not a perfect square. Its factorization is 2^2 × 89 × 6217 and its 12 divisors sum to 3,917,340.

Prime Factor Structure

Factorization String 2^2 × 89 × 6217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,917,340
Proper Divisor Sum 1,704,088
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2213243 ← → #2213279

Radix Representation

Decimal 2213252
Binary 1000011100010110000100 (22 bits)
Octal 0o10342604
Hexadecimal 0x21C584

Divisor Catalog (12)

1 2 4 89 178 356 6,217 12,434 24,868 553,313 1,106,626 2,213,252

Collatz Trajectory (86 steps to reach 1)

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

2,213,252 1,106,626 553,313 1,659,940 829,970 414,985 1,244,956 622,478 311,239 933,718 466,859 1,400,578 700,289 2,100,868 1,050,434 525,217 1,575,652 787,826 393,913 1,181,740 590,870 295,435 886,306 443,153 1,329,460 664,730 332,365 997,096 498,548 249,274 124,637 373,912 186,956 93,478 46,739 140,218 70,109 210,328 105,164 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65

More profiles

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