λ
Harmonic Matrix

8,639,080

23 × 5 × 31 × 6967
Abundant Even Composite

8,639,080 has digital root 7. The neighboring primes are 8639063 and 8639089; its proper-divisor sum differs from the starting integer by 2,789,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 6967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,067,840
Proper Divisor Sum 11,428,760
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8639063 ← → #8639089

Radix Representation

Decimal 8639080
Binary 100000111101001001101000 (24 bits)
Octal 0o40751150
Hexadecimal 0x83D268

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 6,967 13,934 27,868 34,835 55,736 69,670 139,340 215,977 278,680 431,954 863,908 1,079,885 1,727,816 2,159,770 4,319,540 8,639,080

Collatz Trajectory (67 steps to reach 1)

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

8,639,080 4,319,540 2,159,770 1,079,885 3,239,656 1,619,828 809,914 404,957 1,214,872 607,436 303,718 151,859 455,578 227,789 683,368 341,684 170,842 85,421 256,264 128,132 64,066 32,033 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256

More profiles

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