λ
Integer Codex

8,509,037

8509037
Deficient Odd Prime

For 8,509,037, the 2 positive divisors have a total of 8,509,038. Removing 8,509,037 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8509037
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,509,038
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8509031 ← → #8509043

Radix Representation

Decimal 8509037
Binary 100000011101011001101101 (24 bits)
Octal 0o40353155
Hexadecimal 0x81D66D

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

8,509,037 25,527,112 12,763,556 6,381,778 3,190,889 9,572,668 4,786,334 2,393,167 7,179,502 3,589,751 10,769,254 5,384,627 16,153,882 8,076,941 24,230,824 12,115,412 6,057,706 3,028,853 9,086,560 4,543,280 2,271,640 1,135,820 567,910 283,955 851,866 425,933 1,277,800 638,900 319,450 159,725 479,176 239,588 119,794 59,897 179,692 89,846 44,923 134,770 67,385 202,156 101,078 50,539 151,618 75,809 227,428 113,714 56,857 170,572 85,286 42,643 127,930 63,965 191,896 95,948 47,974 23,987 71,962 35,981 107,944 53,972

More profiles

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