λ
Sigma Notebook

6,008,256

26 × 34 × 19 × 61
Abundant Even Composite

6,008,256 is even and not a perfect square. Its factorization is 2^6 × 3^4 × 19 × 61 and its 140 divisors sum to 19,055,080.

Prime Factor Structure

Factorization String 2^6 × 3^4 × 19 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 140
Divisor Sum (σ) 19,055,080
Proper Divisor Sum 13,046,824
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6008251 ← → #6008257

Radix Representation

Decimal 6008256
Binary 10110111010110111000000 (23 bits)
Octal 0o26726700
Hexadecimal 0x5BADC0

Divisor Catalog (60 of 140)

1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 64 72 76 81 96 108 114 122 144 152 162 171 183 192 216 228 244 288 304 324 342 366 432 456 488 513 549 576 608 648 684 732 864 912 976 1,026 1,098 1,159 1,216 1,296

Collatz Trajectory (165 steps to reach 1)

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

6,008,256 3,004,128 1,502,064 751,032 375,516 187,758 93,879 281,638 140,819 422,458 211,229 633,688 316,844 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976

More profiles

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