λ
Prime Ledger

6,276,426

2 × 3 × 13 × 67 × 1201
Abundant Even Composite

6,276,426 has the prime decomposition 2 × 3 × 13 × 67 × 1201. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 67 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,731,648
Proper Divisor Sum 7,455,222
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6276407 ← → #6276433

Radix Representation

Decimal 6276426
Binary 10111111100010101001010 (23 bits)
Octal 0o27742512
Hexadecimal 0x5FC54A

Divisor Catalog (32)

1 2 3 6 13 26 39 67 78 134 201 402 871 1,201 1,742 2,402 2,613 3,603 5,226 7,206 15,613 31,226 46,839 80,467 93,678 160,934 241,401 482,802 1,046,071 2,092,142 3,138,213 6,276,426

Collatz Trajectory (134 steps to reach 1)

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

6,276,426 3,138,213 9,414,640 4,707,320 2,353,660 1,176,830 588,415 1,765,246 882,623 2,647,870 1,323,935 3,971,806 1,985,903 5,957,710 2,978,855 8,936,566 4,468,283 13,404,850 6,702,425 20,107,276 10,053,638 5,026,819 15,080,458 7,540,229 22,620,688 11,310,344 5,655,172 2,827,586 1,413,793 4,241,380 2,120,690 1,060,345 3,181,036 1,590,518 795,259 2,385,778 1,192,889 3,578,668 1,789,334 894,667 2,684,002 1,342,001 4,026,004 2,013,002 1,006,501 3,019,504 1,509,752 754,876 377,438 188,719 566,158 283,079 849,238 424,619 1,273,858 636,929 1,910,788 955,394 477,697 1,433,092

More profiles

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