λ
Harmonic Matrix

6,167,348

22 × 11 × 140167
Deficient Even Composite

6,167,348 has digital root 8. The neighboring primes are 6167347 and 6167351; its proper-divisor sum differs from the starting integer by -560,584.

Prime Factor Structure

Factorization String 2^2 × 11 × 140167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,774,112
Proper Divisor Sum 5,606,764
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6167347 ← → #6167351

Radix Representation

Decimal 6167348
Binary 10111100001101100110100 (23 bits)
Octal 0o27415464
Hexadecimal 0x5E1B34

Divisor Catalog (12)

1 2 4 11 22 44 140,167 280,334 560,668 1,541,837 3,083,674 6,167,348

Collatz Trajectory (258 steps to reach 1)

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

6,167,348 3,083,674 1,541,837 4,625,512 2,312,756 1,156,378 578,189 1,734,568 867,284 433,642 216,821 650,464 325,232 162,616 81,308 40,654 20,327 60,982 30,491 91,474 45,737 137,212 68,606 34,303 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346 879,173 2,637,520 1,318,760 659,380 329,690 164,845 494,536 247,268 123,634 61,817 185,452 92,726 46,363 139,090 69,545 208,636 104,318 52,159 156,478 78,239 234,718

More profiles

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