835,524

2² × 3² × 23209

835,524 factors as 2^2 × 3^2 × 23209. Its 18 positive divisors give a proper-divisor sum of 1,276,586, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23209

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,112,110

Proper Divisor Sum 1,276,586

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #835511 ← → #835531

Radix Representation

Decimal	835524
Binary	11001011111111000100 (20 bits)
Octal	0o3137704
Hexadecimal	0xCBFC4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 23,209 46,418 69,627 92,836 139,254 208,881 278,508 417,762 835,524

Collatz Trajectory (82 steps to reach 1)

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

835,524 417,762 208,881 626,644 313,322 156,661 469,984 234,992 117,496 58,748 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

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