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Atlas › Integer Profiles › Node 26,314,360

26,314,360

23 × 5 × 47 × 13997
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 13997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,471,360
Proper Divisor Sum 34,157,000
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26314331 ← → #26314391

Radix Representation

Decimal 26314360
Binary 1100100011000011001111000 (25 bits)
Octal 0o144303170
Hexadecimal 0x1918678

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1,880 13,997 27,994 55,988 69,985 111,976 139,970 279,940 559,880 657,859 1,315,718 2,631,436 3,289,295 5,262,872 6,578,590 13,157,180 26,314,360

Collatz Trajectory (242 steps to reach 1)

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

26,314,360 13,157,180 6,578,590 3,289,295 9,867,886 4,933,943 14,801,830 7,400,915 22,202,746 11,101,373 33,304,120 16,652,060 8,326,030 4,163,015 12,489,046 6,244,523 18,733,570 9,366,785 28,100,356 14,050,178 7,025,089 21,075,268 10,537,634 5,268,817 15,806,452 7,903,226 3,951,613 11,854,840 5,927,420 2,963,710 1,481,855 4,445,566 2,222,783 6,668,350 3,334,175 10,002,526 5,001,263 15,003,790 7,501,895 22,505,686 11,252,843 33,758,530 16,879,265 50,637,796 25,318,898 12,659,449 37,978,348 18,989,174 9,494,587 28,483,762 14,241,881 42,725,644 21,362,822 10,681,411 32,044,234 16,022,117 48,066,352 24,033,176 12,016,588 6,008,294

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