λ
Harmonic Matrix

6,689,776

24 × 293 × 1427
Deficient Even Composite

6,689,776 has digital root 4. The neighboring primes are 6689773 and 6689779; its proper-divisor sum differs from the starting integer by -364,760.

Prime Factor Structure

Factorization String 2^4 × 293 × 1427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,014,792
Proper Divisor Sum 6,325,016
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #6689773 ← → #6689779

Radix Representation

Decimal 6689776
Binary 11001100001001111110000 (23 bits)
Octal 0o31411760
Hexadecimal 0x6613F0

Divisor Catalog (20)

1 2 4 8 16 293 586 1,172 1,427 2,344 2,854 4,688 5,708 11,416 22,832 418,111 836,222 1,672,444 3,344,888 6,689,776

Collatz Trajectory (209 steps to reach 1)

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

6,689,776 3,344,888 1,672,444 836,222 418,111 1,254,334 627,167 1,881,502 940,751 2,822,254 1,411,127 4,233,382 2,116,691 6,350,074 3,175,037 9,525,112 4,762,556 2,381,278 1,190,639 3,571,918 1,785,959 5,357,878 2,678,939 8,036,818 4,018,409 12,055,228 6,027,614 3,013,807 9,041,422 4,520,711 13,562,134 6,781,067 20,343,202 10,171,601 30,514,804 15,257,402 7,628,701 22,886,104 11,443,052 5,721,526 2,860,763 8,582,290 4,291,145 12,873,436 6,436,718 3,218,359 9,655,078 4,827,539 14,482,618 7,241,309 21,723,928 10,861,964 5,430,982 2,715,491 8,146,474 4,073,237 12,219,712 6,109,856 3,054,928 1,527,464

More profiles

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