λ
Harmonic Matrix

8,531,170

2 × 5 × 701 × 1217
Deficient Even Composite

8,531,170 has digital root 7. The neighboring primes are 8531153 and 8531189; its proper-divisor sum differs from the starting integer by -1,671,692.

Prime Factor Structure

Factorization String 2 × 5 × 701 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,390,648
Proper Divisor Sum 6,859,478
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8531153 ← → #8531189

Radix Representation

Decimal 8531170
Binary 100000100010110011100010 (24 bits)
Octal 0o40426342
Hexadecimal 0x822CE2

Divisor Catalog (16)

1 2 5 10 701 1,217 1,402 2,434 3,505 6,085 7,010 12,170 853,117 1,706,234 4,265,585 8,531,170

Collatz Trajectory (62 steps to reach 1)

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

8,531,170 4,265,585 12,796,756 6,398,378 3,199,189 9,597,568 4,798,784 2,399,392 1,199,696 599,848 299,924 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

More profiles

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