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Atlas › Integer Profiles › Node 26,192,556

26,192,556

22 × 32 × 13 × 55967
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 55967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 71,303,232
Proper Divisor Sum 45,110,676
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26192549 ← → #26192557

Radix Representation

Decimal 26192556
Binary 1100011111010101010101100 (25 bits)
Octal 0o143725254
Hexadecimal 0x18FAAAC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 55,967 111,934 167,901 223,868 335,802 503,703 671,604 727,571 1,007,406 1,455,142 2,014,812 2,182,713 2,910,284 4,365,426 6,548,139 8,730,852 13,096,278 26,192,556

Collatz Trajectory (105 steps to reach 1)

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

26,192,556 13,096,278 6,548,139 19,644,418 9,822,209 29,466,628 14,733,314 7,366,657 22,099,972 11,049,986 5,524,993 16,574,980 8,287,490 4,143,745 12,431,236 6,215,618 3,107,809 9,323,428 4,661,714 2,330,857 6,992,572 3,496,286 1,748,143 5,244,430 2,622,215 7,866,646 3,933,323 11,799,970 5,899,985 17,699,956 8,849,978 4,424,989 13,274,968 6,637,484 3,318,742 1,659,371 4,978,114 2,489,057 7,467,172 3,733,586 1,866,793 5,600,380 2,800,190 1,400,095 4,200,286 2,100,143 6,300,430 3,150,215 9,450,646 4,725,323 14,175,970 7,087,985 21,263,956 10,631,978 5,315,989 15,947,968 7,973,984 3,986,992 1,993,496 996,748

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