λ
Sigma Notebook

7,238,182

2 × 72 × 73859
Deficient Even Composite

7,238,182 is even and not a perfect square. Its factorization is 2 × 7^2 × 73859 and its 12 divisors sum to 12,630,060.

Prime Factor Structure

Factorization String 2 × 7^2 × 73859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,630,060
Proper Divisor Sum 5,391,878
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7238167 ← → #7238191

Radix Representation

Decimal 7238182
Binary 11011100111001000100110 (23 bits)
Octal 0o33471046
Hexadecimal 0x6E7226

Divisor Catalog (12)

1 2 7 14 49 98 73,859 147,718 517,013 1,034,026 3,619,091 7,238,182

Collatz Trajectory (235 steps to reach 1)

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

7,238,182 3,619,091 10,857,274 5,428,637 16,285,912 8,142,956 4,071,478 2,035,739 6,107,218 3,053,609 9,160,828 4,580,414 2,290,207 6,870,622 3,435,311 10,305,934 5,152,967 15,458,902 7,729,451 23,188,354 11,594,177 34,782,532 17,391,266 8,695,633 26,086,900 13,043,450 6,521,725 19,565,176 9,782,588 4,891,294 2,445,647 7,336,942 3,668,471 11,005,414 5,502,707 16,508,122 8,254,061 24,762,184 12,381,092 6,190,546 3,095,273 9,285,820 4,642,910 2,321,455 6,964,366 3,482,183 10,446,550 5,223,275 15,669,826 7,834,913 23,504,740 11,752,370 5,876,185 17,628,556 8,814,278 4,407,139 13,221,418 6,610,709 19,832,128 9,916,064

More profiles

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