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6,407,466

2 × 3 × 132 × 71 × 89
Abundant Even Composite

6,407,466 factors as 2 × 3 × 13^2 × 71 × 89. Its 48 positive divisors give a proper-divisor sum of 7,822,614, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 71 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,230,080
Proper Divisor Sum 7,822,614
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6407461 ← → #6407491

Radix Representation

Decimal 6407466
Binary 11000011100010100101010 (23 bits)
Octal 0o30342452
Hexadecimal 0x61C52A

Divisor Catalog (48)

1 2 3 6 13 26 39 71 78 89 142 169 178 213 267 338 426 507 534 923 1,014 1,157 1,846 2,314 2,769 3,471 5,538 6,319 6,942 11,999 12,638 15,041 18,957 23,998 30,082 35,997 37,914 45,123 71,994 82,147 90,246 164,294 246,441 492,882 1,067,911 2,135,822 3,203,733 6,407,466

Collatz Trajectory (240 steps to reach 1)

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

6,407,466 3,203,733 9,611,200 4,805,600 2,402,800 1,201,400 600,700 300,350 150,175 450,526 225,263 675,790 337,895 1,013,686 506,843 1,520,530 760,265 2,280,796 1,140,398 570,199 1,710,598 855,299 2,565,898 1,282,949 3,848,848 1,924,424 962,212 481,106 240,553 721,660 360,830 180,415 541,246 270,623 811,870 405,935 1,217,806 608,903 1,826,710 913,355 2,740,066 1,370,033 4,110,100 2,055,050 1,027,525 3,082,576 1,541,288 770,644 385,322 192,661 577,984 288,992 144,496 72,248 36,124 18,062 9,031 27,094 13,547 40,642

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