λ
Harmonic Matrix

6,737,740

22 × 5 × 336887
Abundant Even Composite

6,737,740 has digital root 7. The neighboring primes are 6737719 and 6737767; its proper-divisor sum differs from the starting integer by 673,816.

Prime Factor Structure

Factorization String 2^2 × 5 × 336887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,149,296
Proper Divisor Sum 7,411,556
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6737719 ← → #6737767

Radix Representation

Decimal 6737740
Binary 11001101100111101001100 (23 bits)
Octal 0o31547514
Hexadecimal 0x66CF4C

Divisor Catalog (12)

1 2 4 5 10 20 336,887 673,774 1,347,548 1,684,435 3,368,870 6,737,740

Collatz Trajectory (222 steps to reach 1)

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

6,737,740 3,368,870 1,684,435 5,053,306 2,526,653 7,579,960 3,789,980 1,894,990 947,495 2,842,486 1,421,243 4,263,730 2,131,865 6,395,596 3,197,798 1,598,899 4,796,698 2,398,349 7,195,048 3,597,524 1,798,762 899,381 2,698,144 1,349,072 674,536 337,268 168,634 84,317 252,952 126,476 63,238 31,619 94,858 47,429 142,288 71,144 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127

More profiles

← Previous Integer #6,737,739 Browse Full Index Next Integer #6,737,741 →