λ
Harmonic Matrix

6,721,862

2 × 7 × 480133
Deficient Even Composite

6,721,862 has digital root 5. The neighboring primes are 6721861 and 6721867; its proper-divisor sum differs from the starting integer by -1,920,508.

Prime Factor Structure

Factorization String 2 × 7 × 480133
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,523,216
Proper Divisor Sum 4,801,354
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6721861 ← → #6721867

Radix Representation

Decimal 6721862
Binary 11001101001000101000110 (23 bits)
Octal 0o31510506
Hexadecimal 0x669146

Divisor Catalog (8)

1 2 7 14 480,133 960,266 3,360,931 6,721,862

Collatz Trajectory (284 steps to reach 1)

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

6,721,862 3,360,931 10,082,794 5,041,397 15,124,192 7,562,096 3,781,048 1,890,524 945,262 472,631 1,417,894 708,947 2,126,842 1,063,421 3,190,264 1,595,132 797,566 398,783 1,196,350 598,175 1,794,526 897,263 2,691,790 1,345,895 4,037,686 2,018,843 6,056,530 3,028,265 9,084,796 4,542,398 2,271,199 6,813,598 3,406,799 10,220,398 5,110,199 15,330,598 7,665,299 22,995,898 11,497,949 34,493,848 17,246,924 8,623,462 4,311,731 12,935,194 6,467,597 19,402,792 9,701,396 4,850,698 2,425,349 7,276,048 3,638,024 1,819,012 909,506 454,753 1,364,260 682,130 341,065 1,023,196 511,598 255,799

More profiles

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