λ
Prime Ledger

997,013

997013
Deficient Odd Prime

997,013 has the prime decomposition 997013. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 997013
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 997,014
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #997001 ← → #997019

Radix Representation

Decimal 997013
Binary 11110011011010010101 (20 bits)
Octal 0o3633225
Hexadecimal 0xF3695

Divisor Catalog (2)

Collatz Trajectory (77 steps to reach 1)

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

997,013 2,991,040 1,495,520 747,760 373,880 186,940 93,470 46,735 140,206 70,103 210,310 105,155 315,466 157,733 473,200 236,600 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176

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