λ
Sigma Notebook

3,707,902

2 × 11 × 168541
Deficient Even Composite

3,707,902 is even and not a perfect square. Its factorization is 2 × 11 × 168541 and its 8 divisors sum to 6,067,512.

Prime Factor Structure

Factorization String 2 × 11 × 168541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,067,512
Proper Divisor Sum 2,359,610
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3707867 ← → #3707923

Radix Representation

Decimal 3707902
Binary 1110001001001111111110 (22 bits)
Octal 0o16111776
Hexadecimal 0x3893FE

Divisor Catalog (8)

1 2 11 22 168,541 337,082 1,853,951 3,707,902

Collatz Trajectory (216 steps to reach 1)

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

3,707,902 1,853,951 5,561,854 2,780,927 8,342,782 4,171,391 12,514,174 6,257,087 18,771,262 9,385,631 28,156,894 14,078,447 42,235,342 21,117,671 63,353,014 31,676,507 95,029,522 47,514,761 142,544,284 71,272,142 35,636,071 106,908,214 53,454,107 160,362,322 80,181,161 240,543,484 120,271,742 60,135,871 180,407,614 90,203,807 270,611,422 135,305,711 405,917,134 202,958,567 608,875,702 304,437,851 913,313,554 456,656,777 1,369,970,332 684,985,166 342,492,583 1,027,477,750 513,738,875 1,541,216,626 770,608,313 2,311,824,940 1,155,912,470 577,956,235 1,733,868,706 866,934,353 2,600,803,060 1,300,401,530 650,200,765 1,950,602,296 975,301,148 487,650,574 243,825,287 731,475,862 365,737,931 1,097,213,794

More profiles

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