λ
Prime Ledger

5,977,563

3 × 257 × 7753
Deficient Odd Composite

5,977,563 has the prime decomposition 3 × 257 × 7753. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 257 × 7753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,002,128
Proper Divisor Sum 2,024,565
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5977549 ← → #5977603

Radix Representation

Decimal 5977563
Binary 10110110011010111011011 (23 bits)
Octal 0o26632733
Hexadecimal 0x5B35DB

Divisor Catalog (8)

1 3 257 771 7,753 23,259 1,992,521 5,977,563

Collatz Trajectory (258 steps to reach 1)

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

5,977,563 17,932,690 8,966,345 26,899,036 13,449,518 6,724,759 20,174,278 10,087,139 30,261,418 15,130,709 45,392,128 22,696,064 11,348,032 5,674,016 2,837,008 1,418,504 709,252 354,626 177,313 531,940 265,970 132,985 398,956 199,478 99,739 299,218 149,609 448,828 224,414 112,207 336,622 168,311 504,934 252,467 757,402 378,701 1,136,104 568,052 284,026 142,013 426,040 213,020 106,510 53,255 159,766 79,883 239,650 119,825 359,476 179,738 89,869 269,608 134,804 67,402 33,701 101,104 50,552 25,276 12,638 6,319

More profiles

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