λ
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6,512,490

2 × 32 × 5 × 2692
Abundant Even Composite

6,512,490 factors as 2 × 3^2 × 5 × 269^2. Its 36 positive divisors give a proper-divisor sum of 10,483,164, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 269^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,995,654
Proper Divisor Sum 10,483,164
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6512489 ← → #6512491

Radix Representation

Decimal 6512490
Binary 11000110101111101101010 (23 bits)
Octal 0o30657552
Hexadecimal 0x635F6A

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 30 45 90 269 538 807 1,345 1,614 2,421 2,690 4,035 4,842 8,070 12,105 24,210 72,361 144,722 217,083 361,805 434,166 651,249 723,610 1,085,415 1,302,498 2,170,830 3,256,245 6,512,490

Collatz Trajectory (64 steps to reach 1)

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

6,512,490 3,256,245 9,768,736 4,884,368 2,442,184 1,221,092 610,546 305,273 915,820 457,910 228,955 686,866 343,433 1,030,300 515,150 257,575 772,726 386,363 1,159,090 579,545 1,738,636 869,318 434,659 1,303,978 651,989 1,955,968 977,984 488,992 244,496 122,248 61,124 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

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