λ
Harmonic Matrix

6,707,035

5 × 67 × 20021
Deficient Odd Composite

6,707,035 has digital root 1. The neighboring primes are 6707017 and 6707047; its proper-divisor sum differs from the starting integer by -5,245,094.

Prime Factor Structure

Factorization String 5 × 67 × 20021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,168,976
Proper Divisor Sum 1,461,941
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6707017 ← → #6707047

Radix Representation

Decimal 6707035
Binary 11001100101011101011011 (23 bits)
Octal 0o31453533
Hexadecimal 0x66575B

Divisor Catalog (8)

1 5 67 335 20,021 100,105 1,341,407 6,707,035

Collatz Trajectory (116 steps to reach 1)

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

6,707,035 20,121,106 10,060,553 30,181,660 15,090,830 7,545,415 22,636,246 11,318,123 33,954,370 16,977,185 50,931,556 25,465,778 12,732,889 38,198,668 19,099,334 9,549,667 28,649,002 14,324,501 42,973,504 21,486,752 10,743,376 5,371,688 2,685,844 1,342,922 671,461 2,014,384 1,007,192 503,596 251,798 125,899 377,698 188,849 566,548 283,274 141,637 424,912 212,456 106,228 53,114 26,557 79,672 39,836 19,918 9,959 29,878 14,939 44,818 22,409 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545

More profiles

← Previous Integer #6,707,034 Browse Full Index Next Integer #6,707,036 →