λ
Sigma Notebook

8,670,210

2 × 3 × 5 × 37 × 73 × 107
Abundant Even Composite

8,670,210 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 37 × 73 × 107 and its 64 divisors sum to 21,866,112.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 73 × 107
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,866,112
Proper Divisor Sum 13,195,902
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8670197 ← → #8670239

Radix Representation

Decimal 8670210
Binary 100001000100110000000010 (24 bits)
Octal 0o41046002
Hexadecimal 0x844C02

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 30 37 73 74 107 111 146 185 214 219 222 321 365 370 438 535 555 642 730 1,070 1,095 1,110 1,605 2,190 2,701 3,210 3,959 5,402 7,811 7,918 8,103 11,877 13,505 15,622 16,206 19,795 23,433 23,754 27,010 39,055 39,590 40,515 46,866 59,385 78,110 81,030 117,165 118,770 234,330 289,007 578,014 867,021 1,445,035

Collatz Trajectory (212 steps to reach 1)

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

8,670,210 4,335,105 13,005,316 6,502,658 3,251,329 9,753,988 4,876,994 2,438,497 7,315,492 3,657,746 1,828,873 5,486,620 2,743,310 1,371,655 4,114,966 2,057,483 6,172,450 3,086,225 9,258,676 4,629,338 2,314,669 6,944,008 3,472,004 1,736,002 868,001 2,604,004 1,302,002 651,001 1,953,004 976,502 488,251 1,464,754 732,377 2,197,132 1,098,566 549,283 1,647,850 823,925 2,471,776 1,235,888 617,944 308,972 154,486 77,243 231,730 115,865 347,596 173,798 86,899 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992

More profiles

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