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Atlas › Integer Profiles › Node 8,313,630

8,313,630

2 × 3 × 5 × 13 × 21317
Abundant Even Composite

8,313,630 factors as 2 × 3 × 5 × 13 × 21317. Its 32 positive divisors give a proper-divisor sum of 13,174,914, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 21317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,488,544
Proper Divisor Sum 13,174,914
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8313619 ← → #8313637

Radix Representation

Decimal 8313630
Binary 11111101101101100011110 (23 bits)
Octal 0o37555436
Hexadecimal 0x7EDB1E

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 21,317 42,634 63,951 106,585 127,902 213,170 277,121 319,755 554,242 639,510 831,363 1,385,605 1,662,726 2,771,210 4,156,815 8,313,630

Collatz Trajectory (75 steps to reach 1)

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

8,313,630 4,156,815 12,470,446 6,235,223 18,705,670 9,352,835 28,058,506 14,029,253 42,087,760 21,043,880 10,521,940 5,260,970 2,630,485 7,891,456 3,945,728 1,972,864 986,432 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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