λ
Ratio Atlas

8,399,015

5 × 73 × 23011
Deficient Odd Composite

8,399,015 factors as 5 × 73 × 23011. Its 8 positive divisors give a proper-divisor sum of 1,818,313, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 5 × 73 × 23011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,217,328
Proper Divisor Sum 1,818,313
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8399011 ← → #8399021

Radix Representation

Decimal 8399015
Binary 100000000010100010100111 (24 bits)
Octal 0o40024247
Hexadecimal 0x8028A7

Divisor Catalog (8)

Collatz Trajectory (336 steps to reach 1)

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

8,399,015 25,197,046 12,598,523 37,795,570 18,897,785 56,693,356 28,346,678 14,173,339 42,520,018 21,260,009 63,780,028 31,890,014 15,945,007 47,835,022 23,917,511 71,752,534 35,876,267 107,628,802 53,814,401 161,443,204 80,721,602 40,360,801 121,082,404 60,541,202 30,270,601 90,811,804 45,405,902 22,702,951 68,108,854 34,054,427 102,163,282 51,081,641 153,244,924 76,622,462 38,311,231 114,933,694 57,466,847 172,400,542 86,200,271 258,600,814 129,300,407 387,901,222 193,950,611 581,851,834 290,925,917 872,777,752 436,388,876 218,194,438 109,097,219 327,291,658 163,645,829 490,937,488 245,468,744 122,734,372 61,367,186 30,683,593 92,050,780 46,025,390 23,012,695 69,038,086

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