3,678,630

2 × 3 × 5 × 17 × 7213

3,678,630 has the prime decomposition 2 × 3 × 5 × 17 × 7213. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 7213

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,349,344

Proper Divisor Sum 5,670,714

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3678617 ← → #3678659

Radix Representation

Decimal	3678630
Binary	1110000010000110100110 (22 bits)
Octal	0o16020646
Hexadecimal	0x3821A6

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 7,213 14,426 21,639 36,065 43,278 72,130 108,195 122,621 216,390 245,242 367,863 613,105 735,726 1,226,210 1,839,315 3,678,630

Collatz Trajectory (141 steps to reach 1)

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

3,678,630 1,839,315 5,517,946 2,758,973 8,276,920 4,138,460 2,069,230 1,034,615 3,103,846 1,551,923 4,655,770 2,327,885 6,983,656 3,491,828 1,745,914 872,957 2,618,872 1,309,436 654,718 327,359 982,078 491,039 1,473,118 736,559 2,209,678 1,104,839 3,314,518 1,657,259 4,971,778 2,485,889 7,457,668 3,728,834 1,864,417 5,593,252 2,796,626 1,398,313 4,194,940 2,097,470 1,048,735 3,146,206 1,573,103 4,719,310 2,359,655 7,078,966 3,539,483 10,618,450 5,309,225 15,927,676 7,963,838 3,981,919 11,945,758 5,972,879 17,918,638 8,959,319 26,877,958 13,438,979 40,316,938 20,158,469 60,475,408 30,237,704

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