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Atlas › Integer Profiles › Node 8,370,620

8,370,620

22 × 5 × 23 × 31 × 587
Abundant Even Composite

8,370,620 factors as 2^2 × 5 × 23 × 31 × 587. Its 48 positive divisors give a proper-divisor sum of 10,595,908, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 31 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,966,528
Proper Divisor Sum 10,595,908
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8370617 ← → #8370631

Radix Representation

Decimal 8370620
Binary 11111111011100110111100 (23 bits)
Octal 0o37734674
Hexadecimal 0x7FB9BC

Divisor Catalog (48)

1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 587 620 713 1,174 1,426 2,348 2,852 2,935 3,565 5,870 7,130 11,740 13,501 14,260 18,197 27,002 36,394 54,004 67,505 72,788 90,985 135,010 181,970 270,020 363,940 418,531 837,062 1,674,124 2,092,655 4,185,310 8,370,620

Collatz Trajectory (199 steps to reach 1)

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

8,370,620 4,185,310 2,092,655 6,277,966 3,138,983 9,416,950 4,708,475 14,125,426 7,062,713 21,188,140 10,594,070 5,297,035 15,891,106 7,945,553 23,836,660 11,918,330 5,959,165 17,877,496 8,938,748 4,469,374 2,234,687 6,704,062 3,352,031 10,056,094 5,028,047 15,084,142 7,542,071 22,626,214 11,313,107 33,939,322 16,969,661 50,908,984 25,454,492 12,727,246 6,363,623 19,090,870 9,545,435 28,636,306 14,318,153 42,954,460 21,477,230 10,738,615 32,215,846 16,107,923 48,323,770 24,161,885 72,485,656 36,242,828 18,121,414 9,060,707 27,182,122 13,591,061 40,773,184 20,386,592 10,193,296 5,096,648 2,548,324 1,274,162 637,081 1,911,244

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