λ
Harmonic Matrix

6,787,460

22 × 5 × 339373
Abundant Even Composite

6,787,460 has digital root 2. The neighboring primes are 6787457 and 6787489; its proper-divisor sum differs from the starting integer by 678,788.

Prime Factor Structure

Factorization String 2^2 × 5 × 339373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,253,708
Proper Divisor Sum 7,466,248
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6787457 ← → #6787489

Radix Representation

Decimal 6787460
Binary 11001111001000110000100 (23 bits)
Octal 0o31710604
Hexadecimal 0x679184

Divisor Catalog (12)

1 2 4 5 10 20 339,373 678,746 1,357,492 1,696,865 3,393,730 6,787,460

Collatz Trajectory (178 steps to reach 1)

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

6,787,460 3,393,730 1,696,865 5,090,596 2,545,298 1,272,649 3,817,948 1,908,974 954,487 2,863,462 1,431,731 4,295,194 2,147,597 6,442,792 3,221,396 1,610,698 805,349 2,416,048 1,208,024 604,012 302,006 151,003 453,010 226,505 679,516 339,758 169,879 509,638 254,819 764,458 382,229 1,146,688 573,344 286,672 143,336 71,668 35,834 17,917 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196

More profiles

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