λ
Prime Ledger

2,873,793

3 × 13 × 31 × 2377
Deficient Odd Composite

2,873,793 has the prime decomposition 3 × 13 × 31 × 2377. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 31 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,261,376
Proper Divisor Sum 1,387,583
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2873789 ← → #2873797

Radix Representation

Decimal 2873793
Binary 1010111101100111000001 (22 bits)
Octal 0o12754701
Hexadecimal 0x2BD9C1

Divisor Catalog (16)

1 3 13 31 39 93 403 1,209 2,377 7,131 30,901 73,687 92,703 221,061 957,931 2,873,793

Collatz Trajectory (231 steps to reach 1)

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

2,873,793 8,621,380 4,310,690 2,155,345 6,466,036 3,233,018 1,616,509 4,849,528 2,424,764 1,212,382 606,191 1,818,574 909,287 2,727,862 1,363,931 4,091,794 2,045,897 6,137,692 3,068,846 1,534,423 4,603,270 2,301,635 6,904,906 3,452,453 10,357,360 5,178,680 2,589,340 1,294,670 647,335 1,942,006 971,003 2,913,010 1,456,505 4,369,516 2,184,758 1,092,379 3,277,138 1,638,569 4,915,708 2,457,854 1,228,927 3,686,782 1,843,391 5,530,174 2,765,087 8,295,262 4,147,631 12,442,894 6,221,447 18,664,342 9,332,171 27,996,514 13,998,257 41,994,772 20,997,386 10,498,693 31,496,080 15,748,040 7,874,020 3,937,010

More profiles

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