λ
Harmonic Matrix

5,988,131

17 × 163 × 2161
Deficient Odd Composite

5,988,131 has digital root 8. The neighboring primes are 5988113 and 5988139; its proper-divisor sum differs from the starting integer by -5,594,038.

Prime Factor Structure

Factorization String 17 × 163 × 2161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,382,224
Proper Divisor Sum 394,093
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5988113 ← → #5988139

Radix Representation

Decimal 5988131
Binary 10110110101111100100011 (23 bits)
Octal 0o26657443
Hexadecimal 0x5B5F23

Divisor Catalog (8)

1 17 163 2,161 2,771 36,737 352,243 5,988,131

Collatz Trajectory (139 steps to reach 1)

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

5,988,131 17,964,394 8,982,197 26,946,592 13,473,296 6,736,648 3,368,324 1,684,162 842,081 2,526,244 1,263,122 631,561 1,894,684 947,342 473,671 1,421,014 710,507 2,131,522 1,065,761 3,197,284 1,598,642 799,321 2,397,964 1,198,982 599,491 1,798,474 899,237 2,697,712 1,348,856 674,428 337,214 168,607 505,822 252,911 758,734 379,367 1,138,102 569,051 1,707,154 853,577 2,560,732 1,280,366 640,183 1,920,550 960,275 2,880,826 1,440,413 4,321,240 2,160,620 1,080,310 540,155 1,620,466 810,233 2,430,700 1,215,350 607,675 1,823,026 911,513 2,734,540 1,367,270

More profiles

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