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Atlas › Integer Profiles › Node 6,136,064

6,136,064

28 × 11 × 2179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 11 × 2179
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,367,760
Proper Divisor Sum 7,231,696
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6136003 ← → #6136073

Radix Representation

Decimal 6136064
Binary 10111011010000100000000 (23 bits)
Octal 0o27320400
Hexadecimal 0x5DA100

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1,408 2,179 2,816 4,358 8,716 17,432 23,969 34,864 47,938 69,728 95,876 139,456 191,752 278,912 383,504 557,824 767,008 1,534,016 3,068,032 6,136,064

Collatz Trajectory (59 steps to reach 1)

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

6,136,064 3,068,032 1,534,016 767,008 383,504 191,752 95,876 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 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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