λ
Harmonic Matrix

529,535

5 × 105907
Deficient Odd Composite

529,535 has digital root 2. The neighboring primes are 529531 and 529547; its proper-divisor sum differs from the starting integer by -423,622.

Prime Factor Structure

Factorization String 5 × 105907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 635,448
Proper Divisor Sum 105,913
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #529531 ← → #529547

Radix Representation

Decimal 529535
Binary 10000001010001111111 (20 bits)
Octal 0o2012177
Hexadecimal 0x8147F

Divisor Catalog (4)

1 5 105,907 529,535

Collatz Trajectory (195 steps to reach 1)

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

529,535 1,588,606 794,303 2,382,910 1,191,455 3,574,366 1,787,183 5,361,550 2,680,775 8,042,326 4,021,163 12,063,490 6,031,745 18,095,236 9,047,618 4,523,809 13,571,428 6,785,714 3,392,857 10,178,572 5,089,286 2,544,643 7,633,930 3,816,965 11,450,896 5,725,448 2,862,724 1,431,362 715,681 2,147,044 1,073,522 536,761 1,610,284 805,142 402,571 1,207,714 603,857 1,811,572 905,786 452,893 1,358,680 679,340 339,670 169,835 509,506 254,753 764,260 382,130 191,065 573,196 286,598 143,299 429,898 214,949 644,848 322,424 161,212 80,606 40,303 120,910

More profiles

← Previous Integer #529,534 Browse Full Index Next Integer #529,536 →