λ
Prime Ledger

7,410,247

13 × 192 × 1579
Deficient Odd Composite

7,410,247 has the prime decomposition 13 × 19^2 × 1579. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 13 × 19^2 × 1579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,427,720
Proper Divisor Sum 1,017,473
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7410241 ← → #7410253

Radix Representation

Decimal 7410247
Binary 11100010001001001000111 (23 bits)
Octal 0o34211107
Hexadecimal 0x711247

Divisor Catalog (12)

1 13 19 247 361 1,579 4,693 20,527 30,001 390,013 570,019 7,410,247

Collatz Trajectory (116 steps to reach 1)

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

7,410,247 22,230,742 11,115,371 33,346,114 16,673,057 50,019,172 25,009,586 12,504,793 37,514,380 18,757,190 9,378,595 28,135,786 14,067,893 42,203,680 21,101,840 10,550,920 5,275,460 2,637,730 1,318,865 3,956,596 1,978,298 989,149 2,967,448 1,483,724 741,862 370,931 1,112,794 556,397 1,669,192 834,596 417,298 208,649 625,948 312,974 156,487 469,462 234,731 704,194 352,097 1,056,292 528,146 264,073 792,220 396,110 198,055 594,166 297,083 891,250 445,625 1,336,876 668,438 334,219 1,002,658 501,329 1,503,988 751,994 375,997 1,127,992 563,996 281,998

More profiles

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