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Atlas › Integer Profiles › Node 6,138,006

6,138,006

2 × 3 × 7 × 59 × 2477
Abundant Even Composite

6,138,006 factors as 2 × 3 × 7 × 59 × 2477. Its 32 positive divisors give a proper-divisor sum of 8,135,274, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 59 × 2477
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,273,280
Proper Divisor Sum 8,135,274
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6137993 ← → #6138019

Radix Representation

Decimal 6138006
Binary 10111011010100010010110 (23 bits)
Octal 0o27324226
Hexadecimal 0x5DA896

Divisor Catalog (32)

1 2 3 6 7 14 21 42 59 118 177 354 413 826 1,239 2,477 2,478 4,954 7,431 14,862 17,339 34,678 52,017 104,034 146,143 292,286 438,429 876,858 1,023,001 2,046,002 3,069,003 6,138,006

Collatz Trajectory (103 steps to reach 1)

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

6,138,006 3,069,003 9,207,010 4,603,505 13,810,516 6,905,258 3,452,629 10,357,888 5,178,944 2,589,472 1,294,736 647,368 323,684 161,842 80,921 242,764 121,382 60,691 182,074 91,037 273,112 136,556 68,278 34,139 102,418 51,209 153,628 76,814 38,407 115,222 57,611 172,834 86,417 259,252 129,626 64,813 194,440 97,220 48,610 24,305 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084

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