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Atlas › Integer Profiles › Node 42,736,166

42,736,166

2 × 11 × 31 × 223 × 281
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 31 × 223 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,769,536
Proper Divisor Sum 30,033,370
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42736159 ← → #42736189

Radix Representation

Decimal 42736166
Binary 10100011000001101000100110 (26 bits)
Octal 0o243015046
Hexadecimal 0x28C1A26

Divisor Catalog (32)

1 2 11 22 31 62 223 281 341 446 562 682 2,453 3,091 4,906 6,182 6,913 8,711 13,826 17,422 62,663 76,043 95,821 125,326 152,086 191,642 689,293 1,378,586 1,942,553 3,885,106 21,368,083 42,736,166

Collatz Trajectory (266 steps to reach 1)

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

42,736,166 21,368,083 64,104,250 32,052,125 96,156,376 48,078,188 24,039,094 12,019,547 36,058,642 18,029,321 54,087,964 27,043,982 13,521,991 40,565,974 20,282,987 60,848,962 30,424,481 91,273,444 45,636,722 22,818,361 68,455,084 34,227,542 17,113,771 51,341,314 25,670,657 77,011,972 38,505,986 19,252,993 57,758,980 28,879,490 14,439,745 43,319,236 21,659,618 10,829,809 32,489,428 16,244,714 8,122,357 24,367,072 12,183,536 6,091,768 3,045,884 1,522,942 761,471 2,284,414 1,142,207 3,426,622 1,713,311 5,139,934 2,569,967 7,709,902 3,854,951 11,564,854 5,782,427 17,347,282 8,673,641 26,020,924 13,010,462 6,505,231 19,515,694 9,757,847

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