λ
Harmonic Matrix

575,857

575857
Deficient Odd Prime

575,857 has digital root 1. The neighboring primes are 575849 and 575863; its proper-divisor sum differs from the starting integer by -575,856.

Prime Factor Structure

Factorization String 575857
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 575,858
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #575849 ← → #575863

Radix Representation

Decimal 575857
Binary 10001100100101110001 (20 bits)
Octal 0o2144561
Hexadecimal 0x8C971

Divisor Catalog (2)

1 575,857

Collatz Trajectory (53 steps to reach 1)

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

575,857 1,727,572 863,786 431,893 1,295,680 647,840 323,920 161,960 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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