λ
Sigma Notebook

7,208,884

22 × 17 × 106013
Deficient Even Composite

7,208,884 is even and not a perfect square. Its factorization is 2^2 × 17 × 106013 and its 12 divisors sum to 13,357,764.

Prime Factor Structure

Factorization String 2^2 × 17 × 106013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,357,764
Proper Divisor Sum 6,148,880
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7208881 ← → #7208893

Radix Representation

Decimal 7208884
Binary 11011011111111110110100 (23 bits)
Octal 0o33377664
Hexadecimal 0x6DFFB4

Divisor Catalog (12)

1 2 4 17 34 68 106,013 212,026 424,052 1,802,221 3,604,442 7,208,884

Collatz Trajectory (235 steps to reach 1)

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

7,208,884 3,604,442 1,802,221 5,406,664 2,703,332 1,351,666 675,833 2,027,500 1,013,750 506,875 1,520,626 760,313 2,280,940 1,140,470 570,235 1,710,706 855,353 2,566,060 1,283,030 641,515 1,924,546 962,273 2,886,820 1,443,410 721,705 2,165,116 1,082,558 541,279 1,623,838 811,919 2,435,758 1,217,879 3,653,638 1,826,819 5,480,458 2,740,229 8,220,688 4,110,344 2,055,172 1,027,586 513,793 1,541,380 770,690 385,345 1,156,036 578,018 289,009 867,028 433,514 216,757 650,272 325,136 162,568 81,284 40,642 20,321 60,964 30,482 15,241 45,724

More profiles

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