λ
Prime Ledger

6,438,256

24 × 11 × 157 × 233
Abundant Even Composite

6,438,256 has the prime decomposition 2^4 × 11 × 157 × 233. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 157 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,753,584
Proper Divisor Sum 7,315,328
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6438253 ← → #6438269

Radix Representation

Decimal 6438256
Binary 11000100011110101110000 (23 bits)
Octal 0o30436560
Hexadecimal 0x623D70

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 157 176 233 314 466 628 932 1,256 1,727 1,864 2,512 2,563 3,454 3,728 5,126 6,908 10,252 13,816 20,504 27,632 36,581 41,008 73,162 146,324 292,648 402,391 585,296 804,782 1,609,564 3,219,128 6,438,256

Collatz Trajectory (165 steps to reach 1)

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

6,438,256 3,219,128 1,609,564 804,782 402,391 1,207,174 603,587 1,810,762 905,381 2,716,144 1,358,072 679,036 339,518 169,759 509,278 254,639 763,918 381,959 1,145,878 572,939 1,718,818 859,409 2,578,228 1,289,114 644,557 1,933,672 966,836 483,418 241,709 725,128 362,564 181,282 90,641 271,924 135,962 67,981 203,944 101,972 50,986 25,493 76,480 38,240 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136

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