λ
Harmonic Matrix

8,200,982

2 × 367 × 11173
Deficient Even Composite

8,200,982 has digital root 2. The neighboring primes are 8200979 and 8200991; its proper-divisor sum differs from the starting integer by -4,065,868.

Prime Factor Structure

Factorization String 2 × 367 × 11173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,336,096
Proper Divisor Sum 4,135,114
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8200979 ← → #8200991

Radix Representation

Decimal 8200982
Binary 11111010010001100010110 (23 bits)
Octal 0o37221426
Hexadecimal 0x7D2316

Divisor Catalog (8)

1 2 367 734 11,173 22,346 4,100,491 8,200,982

Collatz Trajectory (261 steps to reach 1)

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

8,200,982 4,100,491 12,301,474 6,150,737 18,452,212 9,226,106 4,613,053 13,839,160 6,919,580 3,459,790 1,729,895 5,189,686 2,594,843 7,784,530 3,892,265 11,676,796 5,838,398 2,919,199 8,757,598 4,378,799 13,136,398 6,568,199 19,704,598 9,852,299 29,556,898 14,778,449 44,335,348 22,167,674 11,083,837 33,251,512 16,625,756 8,312,878 4,156,439 12,469,318 6,234,659 18,703,978 9,351,989 28,055,968 14,027,984 7,013,992 3,506,996 1,753,498 876,749 2,630,248 1,315,124 657,562 328,781 986,344 493,172 246,586 123,293 369,880 184,940 92,470 46,235 138,706 69,353 208,060 104,030 52,015

More profiles

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