λ
Sigma Notebook

6,508,632

23 × 3 × 13 × 23 × 907
Abundant Even Composite

6,508,632 is even and not a perfect square. Its factorization is 2^3 × 3 × 13 × 23 × 907 and its 64 divisors sum to 18,305,280.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 23 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,305,280
Proper Divisor Sum 11,796,648
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6508589 ← → #6508651

Radix Representation

Decimal 6508632
Binary 11000110101000001011000 (23 bits)
Octal 0o30650130
Hexadecimal 0x635058

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 907 1,196 1,794 1,814 2,392 2,721 3,588 3,628 5,442 7,176 7,256 10,884 11,791 20,861 21,768 23,582 35,373 41,722 47,164 62,583 70,746 83,444 94,328 125,166 141,492 166,888 250,332 271,193 282,984 500,664 542,386 813,579 1,084,772

Collatz Trajectory (72 steps to reach 1)

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

6,508,632 3,254,316 1,627,158 813,579 2,440,738 1,220,369 3,661,108 1,830,554 915,277 2,745,832 1,372,916 686,458 343,229 1,029,688 514,844 257,422 128,711 386,134 193,067 579,202 289,601 868,804 434,402 217,201 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

More profiles

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