λ
Harmonic Matrix

6,686,421

3 × 7 × 31 × 10271
Deficient Odd Composite

6,686,421 has digital root 6. The neighboring primes are 6686419 and 6686437; its proper-divisor sum differs from the starting integer by -2,854,314.

Prime Factor Structure

Factorization String 3 × 7 × 31 × 10271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,518,528
Proper Divisor Sum 3,832,107
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6686419 ← → #6686437

Radix Representation

Decimal 6686421
Binary 11001100000011011010101 (23 bits)
Octal 0o31403325
Hexadecimal 0x6606D5

Divisor Catalog (16)

1 3 7 21 31 93 217 651 10,271 30,813 71,897 215,691 318,401 955,203 2,228,807 6,686,421

Collatz Trajectory (209 steps to reach 1)

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

6,686,421 20,059,264 10,029,632 5,014,816 2,507,408 1,253,704 626,852 313,426 156,713 470,140 235,070 117,535 352,606 176,303 528,910 264,455 793,366 396,683 1,190,050 595,025 1,785,076 892,538 446,269 1,338,808 669,404 334,702 167,351 502,054 251,027 753,082 376,541 1,129,624 564,812 282,406 141,203 423,610 211,805 635,416 317,708 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069

More profiles

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