λ
Harmonic Matrix

5,757,621

3 × 1123 × 1709
Deficient Odd Composite

5,757,621 has digital root 6. The neighboring primes are 5757617 and 5757623; its proper-divisor sum differs from the starting integer by -3,827,082.

Prime Factor Structure

Factorization String 3 × 1123 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,688,160
Proper Divisor Sum 1,930,539
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5757617 ← → #5757623

Radix Representation

Decimal 5757621
Binary 10101111101101010110101 (23 bits)
Octal 0o25755265
Hexadecimal 0x57DAB5

Divisor Catalog (8)

1 3 1,123 1,709 3,369 5,127 1,919,207 5,757,621

Collatz Trajectory (69 steps to reach 1)

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

5,757,621 17,272,864 8,636,432 4,318,216 2,159,108 1,079,554 539,777 1,619,332 809,666 404,833 1,214,500 607,250 303,625 910,876 455,438 227,719 683,158 341,579 1,024,738 512,369 1,537,108 768,554 384,277 1,152,832 576,416 288,208 144,104 72,052 36,026 18,013 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

More profiles

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