λ
Prime Ledger

5,589,597

3 × 13 × 331 × 433
Deficient Odd Composite

5,589,597 has the prime decomposition 3 × 13 × 331 × 433. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 331 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,068,928
Proper Divisor Sum 2,479,331
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5589593 ← → #5589611

Radix Representation

Decimal 5589597
Binary 10101010100101001011101 (23 bits)
Octal 0o25245135
Hexadecimal 0x554A5D

Divisor Catalog (16)

1 3 13 39 331 433 993 1,299 4,303 5,629 12,909 16,887 143,323 429,969 1,863,199 5,589,597

Collatz Trajectory (139 steps to reach 1)

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

5,589,597 16,768,792 8,384,396 4,192,198 2,096,099 6,288,298 3,144,149 9,432,448 4,716,224 2,358,112 1,179,056 589,528 294,764 147,382 73,691 221,074 110,537 331,612 165,806 82,903 248,710 124,355 373,066 186,533 559,600 279,800 139,900 69,950 34,975 104,926 52,463 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506 567,253 1,701,760 850,880 425,440 212,720

More profiles

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