λ
Prime Ledger

5,727,765

3 × 5 × 383 × 997
Deficient Odd Composite

5,727,765 has the prime decomposition 3 × 5 × 383 × 997. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 383 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,197,568
Proper Divisor Sum 3,469,803
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5727751 ← → #5727767

Radix Representation

Decimal 5727765
Binary 10101110110011000010101 (23 bits)
Octal 0o25663025
Hexadecimal 0x576615

Divisor Catalog (16)

1 3 5 15 383 997 1,149 1,915 2,991 4,985 5,745 14,955 381,851 1,145,553 1,909,255 5,727,765

Collatz Trajectory (121 steps to reach 1)

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

5,727,765 17,183,296 8,591,648 4,295,824 2,147,912 1,073,956 536,978 268,489 805,468 402,734 201,367 604,102 302,051 906,154 453,077 1,359,232 679,616 339,808 169,904 84,952 42,476 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010

More profiles

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