λ
Sigma Notebook

6,013,410

2 × 3 × 5 × 13 × 17 × 907
Abundant Even Composite

6,013,410 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 13 × 17 × 907 and its 64 divisors sum to 16,474,752.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 17 × 907
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,474,752
Proper Divisor Sum 10,461,342
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6013409 ← → #6013453

Radix Representation

Decimal 6013410
Binary 10110111100000111100010 (23 bits)
Octal 0o26740742
Hexadecimal 0x5BC1E2

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 907 1,105 1,326 1,814 2,210 2,721 3,315 4,535 5,442 6,630 9,070 11,791 13,605 15,419 23,582 27,210 30,838 35,373 46,257 58,955 70,746 77,095 92,514 117,910 154,190 176,865 200,447 231,285 353,730 400,894 462,570 601,341 1,002,235

Collatz Trajectory (139 steps to reach 1)

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

6,013,410 3,006,705 9,020,116 4,510,058 2,255,029 6,765,088 3,382,544 1,691,272 845,636 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150

More profiles

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