3,415,100

2² × 5² × 13 × 37 × 71

3,415,100 has the prime decomposition 2^2 × 5^2 × 13 × 37 × 71. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 37 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Total Divisors 72

Divisor Sum (σ) 8,311,968

Proper Divisor Sum 4,896,868

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3415099 ← → #3415123

1 2 4 5 10 13 20 25 26 37 50 52 65 71 74 100 130 142 148 185 260 284 325 355 370 481 650 710 740 923 925 962 1,300 1,420 1,775 1,846 1,850 1,924 2,405 2,627 3,550 3,692 3,700 4,615 4,810 5,254 7,100 9,230 9,620 10,508 12,025 13,135 18,460 23,075 24,050 26,270 34,151 46,150 48,100 52,540

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

3,415,100 1,707,550 853,775 2,561,326 1,280,663 3,841,990 1,920,995 5,762,986 2,881,493 8,644,480 4,322,240 2,161,120 1,080,560 540,280 270,140 135,070 67,535 202,606 101,303 303,910 151,955 455,866 227,933 683,800 341,900 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688