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Atlas › Integer Profiles › Node 26,318,457

26,318,457

32 × 11 × 29 × 89 × 103
Deficient Odd Composite

26,318,457 factors as 3^2 × 11 × 29 × 89 × 103. Its 48 positive divisors give a proper-divisor sum of 17,486,343, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 29 × 89 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,804,800
Proper Divisor Sum 17,486,343
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26318447 ← → #26318459

Radix Representation

Decimal 26318457
Binary 1100100011001011001111001 (25 bits)
Octal 0o144313171
Hexadecimal 0x1919679

Divisor Catalog (48)

1 3 9 11 29 33 87 89 99 103 261 267 309 319 801 927 957 979 1,133 2,581 2,871 2,937 2,987 3,399 7,743 8,811 8,961 9,167 10,197 23,229 26,883 27,501 28,391 32,857 82,503 85,173 98,571 100,837 255,519 265,843 295,713 302,511 797,529 907,533 2,392,587 2,924,273 8,772,819 26,318,457

Collatz Trajectory (172 steps to reach 1)

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

26,318,457 78,955,372 39,477,686 19,738,843 59,216,530 29,608,265 88,824,796 44,412,398 22,206,199 66,618,598 33,309,299 99,927,898 49,963,949 149,891,848 74,945,924 37,472,962 18,736,481 56,209,444 28,104,722 14,052,361 42,157,084 21,078,542 10,539,271 31,617,814 15,808,907 47,426,722 23,713,361 71,140,084 35,570,042 17,785,021 53,355,064 26,677,532 13,338,766 6,669,383 20,008,150 10,004,075 30,012,226 15,006,113 45,018,340 22,509,170 11,254,585 33,763,756 16,881,878 8,440,939 25,322,818 12,661,409 37,984,228 18,992,114 9,496,057 28,488,172 14,244,086 7,122,043 21,366,130 10,683,065 32,049,196 16,024,598 8,012,299 24,036,898 12,018,449 36,055,348

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