λ
Sigma Notebook

6,375,853

112 × 23 × 29 × 79
Deficient Odd Composite

6,375,853 is odd and not a perfect square. Its factorization is 11^2 × 23 × 29 × 79 and its 24 divisors sum to 7,660,800.

Prime Factor Structure

Factorization String 11^2 × 23 × 29 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,660,800
Proper Divisor Sum 1,284,947
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6375851 ← → #6375931

Radix Representation

Decimal 6375853
Binary 11000010100100110101101 (23 bits)
Octal 0o30244655
Hexadecimal 0x6149AD

Divisor Catalog (24)

1 11 23 29 79 121 253 319 667 869 1,817 2,291 2,783 3,509 7,337 9,559 19,987 25,201 52,693 80,707 219,857 277,211 579,623 6,375,853

Collatz Trajectory (147 steps to reach 1)

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

6,375,853 19,127,560 9,563,780 4,781,890 2,390,945 7,172,836 3,586,418 1,793,209 5,379,628 2,689,814 1,344,907 4,034,722 2,017,361 6,052,084 3,026,042 1,513,021 4,539,064 2,269,532 1,134,766 567,383 1,702,150 851,075 2,553,226 1,276,613 3,829,840 1,914,920 957,460 478,730 239,365 718,096 359,048 179,524 89,762 44,881 134,644 67,322 33,661 100,984 50,492 25,246 12,623 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445

More profiles

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