λ
Harmonic Matrix

6,318,367

11 × 307 × 1871
Deficient Odd Composite

6,318,367 has digital root 7. The neighboring primes are 6318349 and 6318383; its proper-divisor sum differs from the starting integer by -5,717,822.

Prime Factor Structure

Factorization String 11 × 307 × 1871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,918,912
Proper Divisor Sum 600,545
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6318349 ← → #6318383

Radix Representation

Decimal 6318367
Binary 11000000110100100011111 (23 bits)
Octal 0o30064437
Hexadecimal 0x60691F

Divisor Catalog (8)

1 11 307 1,871 3,377 20,581 574,397 6,318,367

Collatz Trajectory (178 steps to reach 1)

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

6,318,367 18,955,102 9,477,551 28,432,654 14,216,327 42,648,982 21,324,491 63,973,474 31,986,737 95,960,212 47,980,106 23,990,053 71,970,160 35,985,080 17,992,540 8,996,270 4,498,135 13,494,406 6,747,203 20,241,610 10,120,805 30,362,416 15,181,208 7,590,604 3,795,302 1,897,651 5,692,954 2,846,477 8,539,432 4,269,716 2,134,858 1,067,429 3,202,288 1,601,144 800,572 400,286 200,143 600,430 300,215 900,646 450,323 1,350,970 675,485 2,026,456 1,013,228 506,614 253,307 759,922 379,961 1,139,884 569,942 284,971 854,914 427,457 1,282,372 641,186 320,593 961,780 480,890 240,445

More profiles

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