λ
Prime Ledger

8,410,097

8410097
Deficient Odd Prime

8,410,097 has the prime decomposition 8410097. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 8410097
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,410,098
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8410081 ← → #8410099

Radix Representation

Decimal 8410097
Binary 100000000101001111110001 (24 bits)
Octal 0o40051761
Hexadecimal 0x8053F1

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

8,410,097 25,230,292 12,615,146 6,307,573 18,922,720 9,461,360 4,730,680 2,365,340 1,182,670 591,335 1,774,006 887,003 2,661,010 1,330,505 3,991,516 1,995,758 997,879 2,993,638 1,496,819 4,490,458 2,245,229 6,735,688 3,367,844 1,683,922 841,961 2,525,884 1,262,942 631,471 1,894,414 947,207 2,841,622 1,420,811 4,262,434 2,131,217 6,393,652 3,196,826 1,598,413 4,795,240 2,397,620 1,198,810 599,405 1,798,216 899,108 449,554 224,777 674,332 337,166 168,583 505,750 252,875 758,626 379,313 1,137,940 568,970 284,485 853,456 426,728 213,364 106,682 53,341

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