λ
Prime Ledger

1,825,373

11 × 31 × 53 × 101
Deficient Odd Composite

1,825,373 has the prime decomposition 11 × 31 × 53 × 101. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 31 × 53 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,115,072
Proper Divisor Sum 289,699
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1825357 ← → #1825379

Radix Representation

Decimal 1825373
Binary 110111101101001011101 (21 bits)
Octal 0o6755135
Hexadecimal 0x1BDA5D

Divisor Catalog (16)

1 11 31 53 101 341 583 1,111 1,643 3,131 5,353 18,073 34,441 58,883 165,943 1,825,373

Collatz Trajectory (83 steps to reach 1)

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

1,825,373 5,476,120 2,738,060 1,369,030 684,515 2,053,546 1,026,773 3,080,320 1,540,160 770,080 385,040 192,520 96,260 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930

More profiles

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