λ
Sigma Notebook

8,287,963

37 × 223999
Deficient Odd Composite

8,287,963 is odd and not a perfect square. Its factorization is 37 × 223999 and its 4 divisors sum to 8,512,000.

Prime Factor Structure

Factorization String 37 × 223999
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,512,000
Proper Divisor Sum 224,037
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8287921 ← → #8287991

Radix Representation

Decimal 8287963
Binary 11111100111011011011011 (23 bits)
Octal 0o37473333
Hexadecimal 0x7E76DB

Divisor Catalog (4)

1 37 223,999 8,287,963

Collatz Trajectory (124 steps to reach 1)

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

8,287,963 24,863,890 12,431,945 37,295,836 18,647,918 9,323,959 27,971,878 13,985,939 41,957,818 20,978,909 62,936,728 31,468,364 15,734,182 7,867,091 23,601,274 11,800,637 35,401,912 17,700,956 8,850,478 4,425,239 13,275,718 6,637,859 19,913,578 9,956,789 29,870,368 14,935,184 7,467,592 3,733,796 1,866,898 933,449 2,800,348 1,400,174 700,087 2,100,262 1,050,131 3,150,394 1,575,197 4,725,592 2,362,796 1,181,398 590,699 1,772,098 886,049 2,658,148 1,329,074 664,537 1,993,612 996,806 498,403 1,495,210 747,605 2,242,816 1,121,408 560,704 280,352 140,176 70,088 35,044 17,522 8,761

More profiles

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