λ
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Atlas › Integer Profiles › Node 8,337,966

8,337,966

2 × 3 × 7 × 13 × 15271
Abundant Even Composite

8,337,966 factors as 2 × 3 × 7 × 13 × 15271. Its 32 positive divisors give a proper-divisor sum of 12,187,602, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 15271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,525,568
Proper Divisor Sum 12,187,602
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8337947 ← → #8337971

Radix Representation

Decimal 8337966
Binary 11111110011101000101110 (23 bits)
Octal 0o37635056
Hexadecimal 0x7F3A2E

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 15,271 30,542 45,813 91,626 106,897 198,523 213,794 320,691 397,046 595,569 641,382 1,191,138 1,389,661 2,779,322 4,168,983 8,337,966

Collatz Trajectory (212 steps to reach 1)

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

8,337,966 4,168,983 12,506,950 6,253,475 18,760,426 9,380,213 28,140,640 14,070,320 7,035,160 3,517,580 1,758,790 879,395 2,638,186 1,319,093 3,957,280 1,978,640 989,320 494,660 247,330 123,665 370,996 185,498 92,749 278,248 139,124 69,562 34,781 104,344 52,172 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900

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