λ
Harmonic Matrix

524,395

5 × 104879
Deficient Odd Composite

524,395 has digital root 1. The neighboring primes are 524389 and 524411; its proper-divisor sum differs from the starting integer by -419,510.

Prime Factor Structure

Factorization String 5 × 104879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 629,280
Proper Divisor Sum 104,885
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #524389 ← → #524411

Radix Representation

Decimal 524395
Binary 10000000000001101011 (20 bits)
Octal 0o2000153
Hexadecimal 0x8006B

Divisor Catalog (4)

1 5 104,879 524,395

Collatz Trajectory (102 steps to reach 1)

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

524,395 1,573,186 786,593 2,359,780 1,179,890 589,945 1,769,836 884,918 442,459 1,327,378 663,689 1,991,068 995,534 497,767 1,493,302 746,651 2,239,954 1,119,977 3,359,932 1,679,966 839,983 2,519,950 1,259,975 3,779,926 1,889,963 5,669,890 2,834,945 8,504,836 4,252,418 2,126,209 6,378,628 3,189,314 1,594,657 4,783,972 2,391,986 1,195,993 3,587,980 1,793,990 896,995 2,690,986 1,345,493 4,036,480 2,018,240 1,009,120 504,560 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738

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