λ
Sigma Notebook

281,013

3 × 47 × 1993
Deficient Odd Composite

281,013 is odd and not a perfect square. Its factorization is 3 × 47 × 1993 and its 8 divisors sum to 382,848.

Prime Factor Structure

Factorization String 3 × 47 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 382,848
Proper Divisor Sum 101,835
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #280997 ← → #281023

Radix Representation

Decimal 281013
Binary 1000100100110110101 (19 bits)
Octal 0o1044665
Hexadecimal 0x449B5

Divisor Catalog (8)

1 3 47 141 1,993 5,979 93,671 281,013

Collatz Trajectory (106 steps to reach 1)

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

281,013 843,040 421,520 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696

More profiles

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