523,428

2² × 3 × 53 × 823

Starting at 523,428, the Collatz iteration reaches 1 after 164 steps. The first transition is 261714; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,245,888

Proper Divisor Sum 722,460

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #523427 ← → #523433

Radix Representation

Decimal	523428
Binary	1111111110010100100 (19 bits)
Octal	0o1776244
Hexadecimal	0x7FCA4

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 823 1,646 2,469 3,292 4,938 9,876 43,619 87,238 130,857 174,476 261,714 523,428

Collatz Trajectory (164 steps to reach 1)

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

523,428 261,714 130,857 392,572 196,286 98,143 294,430 147,215 441,646 220,823 662,470 331,235 993,706 496,853 1,490,560 745,280 372,640 186,320 93,160 46,580 23,290 11,645 34,936 17,468 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94

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