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Atlas › Integer Profiles › Node 6,133,088

6,133,088

25 × 13 × 23 × 641
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 13 × 23 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,589,856
Proper Divisor Sum 7,456,768
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6133069 ← → #6133093

Radix Representation

Decimal 6133088
Binary 10111011001010101100000 (23 bits)
Octal 0o27312540
Hexadecimal 0x5D9560

Divisor Catalog (48)

1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 641 736 1,196 1,282 2,392 2,564 4,784 5,128 8,333 9,568 10,256 14,743 16,666 20,512 29,486 33,332 58,972 66,664 117,944 133,328 191,659 235,888 266,656 383,318 471,776 766,636 1,533,272 3,066,544 6,133,088

Collatz Trajectory (59 steps to reach 1)

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

6,133,088 3,066,544 1,533,272 766,636 383,318 191,659 574,978 287,489 862,468 431,234 215,617 646,852 323,426 161,713 485,140 242,570 121,285 363,856 181,928 90,964 45,482 22,741 68,224 34,112 17,056 8,528 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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