λ
Integer Codex

7,077,380

22 × 5 × 353869
Abundant Even Composite

For 7,077,380, the 12 positive divisors have a total of 14,862,540. Removing 7,077,380 leaves 7,785,160, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 353869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,862,540
Proper Divisor Sum 7,785,160
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7077377 ← → #7077391

Radix Representation

Decimal 7077380
Binary 11010111111111000000100 (23 bits)
Octal 0o32777004
Hexadecimal 0x6BFE04

Divisor Catalog (12)

1 2 4 5 10 20 353,869 707,738 1,415,476 1,769,345 3,538,690 7,077,380

Collatz Trajectory (160 steps to reach 1)

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

7,077,380 3,538,690 1,769,345 5,308,036 2,654,018 1,327,009 3,981,028 1,990,514 995,257 2,985,772 1,492,886 746,443 2,239,330 1,119,665 3,358,996 1,679,498 839,749 2,519,248 1,259,624 629,812 314,906 157,453 472,360 236,180 118,090 59,045 177,136 88,568 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894

More profiles

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