λ
Harmonic Matrix

8,998,691

13 × 631 × 1097
Deficient Odd Composite

8,998,691 has digital root 5. The neighboring primes are 8998687 and 8998709; its proper-divisor sum differs from the starting integer by -8,282,278.

Prime Factor Structure

Factorization String 13 × 631 × 1097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,715,104
Proper Divisor Sum 716,413
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #8998687 ← → #8998709

Radix Representation

Decimal 8998691
Binary 100010010100111100100011 (24 bits)
Octal 0o42247443
Hexadecimal 0x894F23

Divisor Catalog (8)

1 13 631 1,097 8,203 14,261 692,207 8,998,691

Collatz Trajectory (137 steps to reach 1)

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

8,998,691 26,996,074 13,498,037 40,494,112 20,247,056 10,123,528 5,061,764 2,530,882 1,265,441 3,796,324 1,898,162 949,081 2,847,244 1,423,622 711,811 2,135,434 1,067,717 3,203,152 1,601,576 800,788 400,394 200,197 600,592 300,296 150,148 75,074 37,537 112,612 56,306 28,153 84,460 42,230 21,115 63,346 31,673 95,020 47,510 23,755 71,266 35,633 106,900 53,450 26,725 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586

More profiles

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