λ
Sigma Notebook

281,340

22 × 33 × 5 × 521
Abundant Even Composite

281,340 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 5 × 521 and its 48 divisors sum to 876,960.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 876,960
Proper Divisor Sum 595,620
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #281339 ← → #281353

Radix Representation

Decimal 281340
Binary 1000100101011111100 (19 bits)
Octal 0o1045374
Hexadecimal 0x44AFC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 521 540 1,042 1,563 2,084 2,605 3,126 4,689 5,210 6,252 7,815 9,378 10,420 14,067 15,630 18,756 23,445 28,134 31,260 46,890 56,268 70,335 93,780 140,670 281,340

Collatz Trajectory (313 steps to reach 1)

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

281,340 140,670 70,335 211,006 105,503 316,510 158,255 474,766 237,383 712,150 356,075 1,068,226 534,113 1,602,340 801,170 400,585 1,201,756 600,878 300,439 901,318 450,659 1,351,978 675,989 2,027,968 1,013,984 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519 304,558 152,279 456,838 228,419 685,258 342,629 1,027,888 513,944 256,972 128,486 64,243

More profiles

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