λ
Harmonic Matrix

8,098,325

52 × 323933
Deficient Odd Composite

8,098,325 has digital root 8. The neighboring primes are 8098291 and 8098367; its proper-divisor sum differs from the starting integer by -6,154,696.

Prime Factor Structure

Factorization String 5^2 × 323933
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,041,954
Proper Divisor Sum 1,943,629
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8098291 ← → #8098367

Radix Representation

Decimal 8098325
Binary 11110111001001000010101 (23 bits)
Octal 0o36711025
Hexadecimal 0x7B9215

Divisor Catalog (6)

1 5 25 323,933 1,619,665 8,098,325

Collatz Trajectory (186 steps to reach 1)

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

8,098,325 24,294,976 12,147,488 6,073,744 3,036,872 1,518,436 759,218 379,609 1,138,828 569,414 284,707 854,122 427,061 1,281,184 640,592 320,296 160,148 80,074 40,037 120,112 60,056 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566

More profiles

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