λ
Zalai Atlas

1,464,867

32 × 37 × 53 × 83
Deficient Odd Composite

1,464,867 has the prime decomposition 3^2 × 37 × 53 × 83. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 53 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,240,784
Proper Divisor Sum 775,917
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1464863 ← → #1464899

Radix Representation

Decimal 1464867
Binary 101100101101000100011 (21 bits)
Octal 0o5455043
Hexadecimal 0x165A23

Divisor Catalog (24)

1 3 9 37 53 83 111 159 249 333 477 747 1,961 3,071 4,399 5,883 9,213 13,197 17,649 27,639 39,591 162,763 488,289 1,464,867

Collatz Trajectory (119 steps to reach 1)

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

1,464,867 4,394,602 2,197,301 6,591,904 3,295,952 1,647,976 823,988 411,994 205,997 617,992 308,996 154,498 77,249 231,748 115,874 57,937 173,812 86,906 43,453 130,360 65,180 32,590 16,295 48,886 24,443 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768

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