λ
Prime Ledger

7,197,315

3 × 5 × 479821
Deficient Odd Composite

7,197,315 has the prime decomposition 3 × 5 × 479821. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 479821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,515,728
Proper Divisor Sum 4,318,413
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7197313 ← → #7197349

Radix Representation

Decimal 7197315
Binary 11011011101001010000011 (23 bits)
Octal 0o33351203
Hexadecimal 0x6DD283

Divisor Catalog (8)

1 3 5 15 479,821 1,439,463 2,399,105 7,197,315

Collatz Trajectory (90 steps to reach 1)

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

7,197,315 21,591,946 10,795,973 32,387,920 16,193,960 8,096,980 4,048,490 2,024,245 6,072,736 3,036,368 1,518,184 759,092 379,546 189,773 569,320 284,660 142,330 71,165 213,496 106,748 53,374 26,687 80,062 40,031 120,094 60,047 180,142 90,071 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652

More profiles

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