λ
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6,515,210

2 × 5 × 13 × 23 × 2179
Abundant Even Composite

6,515,210 factors as 2 × 5 × 13 × 23 × 2179. Its 32 positive divisors give a proper-divisor sum of 6,669,430, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,184,640
Proper Divisor Sum 6,669,430
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6515203 ← → #6515261

Radix Representation

Decimal 6515210
Binary 11000110110101000001010 (23 bits)
Octal 0o30665012
Hexadecimal 0x636A0A

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,495 2,179 2,990 4,358 10,895 21,790 28,327 50,117 56,654 100,234 141,635 250,585 283,270 501,170 651,521 1,303,042 3,257,605 6,515,210

Collatz Trajectory (64 steps to reach 1)

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

6,515,210 3,257,605 9,772,816 4,886,408 2,443,204 1,221,602 610,801 1,832,404 916,202 458,101 1,374,304 687,152 343,576 171,788 85,894 42,947 128,842 64,421 193,264 96,632 48,316 24,158 12,079 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

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