529,530

2 × 3 × 5 × 19 × 929

529,530 factors as 2 × 3 × 5 × 19 × 929. Its 32 positive divisors give a proper-divisor sum of 809,670, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 929

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,339,200

Proper Divisor Sum 809,670

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #529519 ← → #529531

Radix Representation

Decimal	529530
Binary	10000001010001111010 (20 bits)
Octal	0o2012172
Hexadecimal	0x8147A

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 929 1,858 2,787 4,645 5,574 9,290 13,935 17,651 27,870 35,302 52,953 88,255 105,906 176,510 264,765 529,530

Collatz Trajectory (195 steps to reach 1)

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

529,530 264,765 794,296 397,148 198,574 99,287 297,862 148,931 446,794 223,397 670,192 335,096 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359

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