λ
Modular Archive

1,441,125

33 × 53 × 7 × 61
Abundant Odd Composite

The decimal integer 1,441,125 is 101011111110101100101 in binary (21 bits), 5376545 in octal and 15FD65 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,095,040
Proper Divisor Sum 1,653,915
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1441117 ← → #1441127

Radix Representation

Decimal 1441125
Binary 101011111110101100101 (21 bits)
Octal 0o5376545
Hexadecimal 0x15FD65

Divisor Catalog (60 of 64)

1 3 5 7 9 15 21 25 27 35 45 61 63 75 105 125 135 175 183 189 225 305 315 375 427 525 549 675 875 915 945 1,125 1,281 1,525 1,575 1,647 2,135 2,625 2,745 3,375 3,843 4,575 4,725 6,405 7,625 7,875 8,235 10,675 11,529 13,725 19,215 22,875 23,625 32,025 41,175 53,375 57,645 68,625 96,075 160,125

Collatz Trajectory (119 steps to reach 1)

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

1,441,125 4,323,376 2,161,688 1,080,844 540,422 270,211 810,634 405,317 1,215,952 607,976 303,988 151,994 75,997 227,992 113,996 56,998 28,499 85,498 42,749 128,248 64,124 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143

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