λ
Harmonic Matrix

6,213,770

2 × 5 × 419 × 1483
Deficient Even Composite

6,213,770 has digital root 8. The neighboring primes are 6213769 and 6213787; its proper-divisor sum differs from the starting integer by -1,208,500.

Prime Factor Structure

Factorization String 2 × 5 × 419 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,219,040
Proper Divisor Sum 5,005,270
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6213769 ← → #6213787

Radix Representation

Decimal 6213770
Binary 10111101101000010001010 (23 bits)
Octal 0o27550212
Hexadecimal 0x5ED08A

Divisor Catalog (16)

1 2 5 10 419 838 1,483 2,095 2,966 4,190 7,415 14,830 621,377 1,242,754 3,106,885 6,213,770

Collatz Trajectory (33 steps to reach 1)

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

6,213,770 3,106,885 9,320,656 4,660,328 2,330,164 1,165,082 582,541 1,747,624 873,812 436,906 218,453 655,360 327,680 163,840 81,920 40,960 20,480 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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