λ
Sigma Notebook

6,422,456

23 × 19 × 29 × 31 × 47
Abundant Even Composite

6,422,456 is even and not a perfect square. Its factorization is 2^3 × 19 × 29 × 31 × 47 and its 64 divisors sum to 13,824,000.

Prime Factor Structure

Factorization String 2^3 × 19 × 29 × 31 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,824,000
Proper Divisor Sum 7,401,544
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6422453 ← → #6422459

Radix Representation

Decimal 6422456
Binary 11000011111111110111000 (23 bits)
Octal 0o30377670
Hexadecimal 0x61FFB8

Divisor Catalog (60 of 64)

1 2 4 8 19 29 31 38 47 58 62 76 94 116 124 152 188 232 248 376 551 589 893 899 1,102 1,178 1,363 1,457 1,786 1,798 2,204 2,356 2,726 2,914 3,572 3,596 4,408 4,712 5,452 5,828 7,144 7,192 10,904 11,656 17,081 25,897 27,683 34,162 42,253 51,794 55,366 68,324 84,506 103,588 110,732 136,648 169,012 207,176 221,464 338,024

Collatz Trajectory (95 steps to reach 1)

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

6,422,456 3,211,228 1,605,614 802,807 2,408,422 1,204,211 3,612,634 1,806,317 5,418,952 2,709,476 1,354,738 677,369 2,032,108 1,016,054 508,027 1,524,082 762,041 2,286,124 1,143,062 571,531 1,714,594 857,297 2,571,892 1,285,946 642,973 1,928,920 964,460 482,230 241,115 723,346 361,673 1,085,020 542,510 271,255 813,766 406,883 1,220,650 610,325 1,830,976 915,488 457,744 228,872 114,436 57,218 28,609 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790

More profiles

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