845,028

2² × 3² × 23473

845,028 factors as 2^2 × 3^2 × 23473. Its 18 positive divisors give a proper-divisor sum of 1,291,106, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23473

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,136,134

Proper Divisor Sum 1,291,106

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #845027 ← → #845041

Radix Representation

Decimal	845028
Binary	11001110010011100100 (20 bits)
Octal	0o3162344
Hexadecimal	0xCE4E4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 23,473 46,946 70,419 93,892 140,838 211,257 281,676 422,514 845,028

Collatz Trajectory (188 steps to reach 1)

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

845,028 422,514 211,257 633,772 316,886 158,443 475,330 237,665 712,996 356,498 178,249 534,748 267,374 133,687 401,062 200,531 601,594 300,797 902,392 451,196 225,598 112,799 338,398 169,199 507,598 253,799 761,398 380,699 1,142,098 571,049 1,713,148 856,574 428,287 1,284,862 642,431 1,927,294 963,647 2,890,942 1,445,471 4,336,414 2,168,207 6,504,622 3,252,311 9,756,934 4,878,467 14,635,402 7,317,701 21,953,104 10,976,552 5,488,276 2,744,138 1,372,069 4,116,208 2,058,104 1,029,052 514,526 257,263 771,790 385,895 1,157,686

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