λ
Prime Ledger

5,287,797

32 × 587533
Deficient Odd Composite

5,287,797 has the prime decomposition 3^2 × 587533. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 587533
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,637,942
Proper Divisor Sum 2,350,145
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5287787 ← → #5287801

Radix Representation

Decimal 5287797
Binary 10100001010111101110101 (23 bits)
Octal 0o24127565
Hexadecimal 0x50AF75

Divisor Catalog (6)

1 3 9 587,533 1,762,599 5,287,797

Collatz Trajectory (157 steps to reach 1)

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

5,287,797 15,863,392 7,931,696 3,965,848 1,982,924 991,462 495,731 1,487,194 743,597 2,230,792 1,115,396 557,698 278,849 836,548 418,274 209,137 627,412 313,706 156,853 470,560 235,280 117,640 58,820 29,410 14,705 44,116 22,058 11,029 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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