λ
Integer Codex

6,593,080

23 × 5 × 13 × 31 × 409
Abundant Even Composite

For 6,593,080, the 64 positive divisors have a total of 16,531,200. Removing 6,593,080 leaves 9,938,120, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 31 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,531,200
Proper Divisor Sum 9,938,120
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6593039 ← → #6593089

Radix Representation

Decimal 6593080
Binary 11001001001101000111000 (23 bits)
Octal 0o31115070
Hexadecimal 0x649A38

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 409 520 620 806 818 1,240 1,612 1,636 2,015 2,045 3,224 3,272 4,030 4,090 5,317 8,060 8,180 10,634 12,679 16,120 16,360 21,268 25,358 26,585 42,536 50,716 53,170 63,395 101,432 106,340 126,790 164,827 212,680 253,580 329,654 507,160 659,308 824,135

Collatz Trajectory (240 steps to reach 1)

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

6,593,080 3,296,540 1,648,270 824,135 2,472,406 1,236,203 3,708,610 1,854,305 5,562,916 2,781,458 1,390,729 4,172,188 2,086,094 1,043,047 3,129,142 1,564,571 4,693,714 2,346,857 7,040,572 3,520,286 1,760,143 5,280,430 2,640,215 7,920,646 3,960,323 11,880,970 5,940,485 17,821,456 8,910,728 4,455,364 2,227,682 1,113,841 3,341,524 1,670,762 835,381 2,506,144 1,253,072 626,536 313,268 156,634 78,317 234,952 117,476 58,738 29,369 88,108 44,054 22,027 66,082 33,041 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970

More profiles

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