λ
Sigma Notebook

6,393,810

2 × 3 × 5 × 67 × 3181
Abundant Even Composite

6,393,810 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 67 × 3181 and its 32 divisors sum to 15,579,072.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 67 × 3181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,579,072
Proper Divisor Sum 9,185,262
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6393809 ← → #6393811

Radix Representation

Decimal 6393810
Binary 11000011000111111010010 (23 bits)
Octal 0o30307722
Hexadecimal 0x618FD2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 67 134 201 335 402 670 1,005 2,010 3,181 6,362 9,543 15,905 19,086 31,810 47,715 95,430 213,127 426,254 639,381 1,065,635 1,278,762 2,131,270 3,196,905 6,393,810

Collatz Trajectory (165 steps to reach 1)

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

6,393,810 3,196,905 9,590,716 4,795,358 2,397,679 7,193,038 3,596,519 10,789,558 5,394,779 16,184,338 8,092,169 24,276,508 12,138,254 6,069,127 18,207,382 9,103,691 27,311,074 13,655,537 40,966,612 20,483,306 10,241,653 30,724,960 15,362,480 7,681,240 3,840,620 1,920,310 960,155 2,880,466 1,440,233 4,320,700 2,160,350 1,080,175 3,240,526 1,620,263 4,860,790 2,430,395 7,291,186 3,645,593 10,936,780 5,468,390 2,734,195 8,202,586 4,101,293 12,303,880 6,151,940 3,075,970 1,537,985 4,613,956 2,306,978 1,153,489 3,460,468 1,730,234 865,117 2,595,352 1,297,676 648,838 324,419 973,258 486,629 1,459,888

More profiles

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