λ
Zalai Atlas

2,190,578

2 × 132 × 6481
Deficient Even Composite

2,190,578 has the prime decomposition 2 × 13^2 × 6481. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 6481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,558,618
Proper Divisor Sum 1,368,040
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2190577 ← → #2190581

Radix Representation

Decimal 2190578
Binary 1000010110110011110010 (22 bits)
Octal 0o10266362
Hexadecimal 0x216CF2

Divisor Catalog (12)

1 2 13 26 169 338 6,481 12,962 84,253 168,506 1,095,289 2,190,578

Collatz Trajectory (171 steps to reach 1)

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

2,190,578 1,095,289 3,285,868 1,642,934 821,467 2,464,402 1,232,201 3,696,604 1,848,302 924,151 2,772,454 1,386,227 4,158,682 2,079,341 6,238,024 3,119,012 1,559,506 779,753 2,339,260 1,169,630 584,815 1,754,446 877,223 2,631,670 1,315,835 3,947,506 1,973,753 5,921,260 2,960,630 1,480,315 4,440,946 2,220,473 6,661,420 3,330,710 1,665,355 4,996,066 2,498,033 7,494,100 3,747,050 1,873,525 5,620,576 2,810,288 1,405,144 702,572 351,286 175,643 526,930 263,465 790,396 395,198 197,599 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048

More profiles

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