8,436,492

2² × 3² × 23² × 443

8,436,492 has digital root 9. The neighboring primes are 8436479 and 8436499; its proper-divisor sum differs from the starting integer by 5,470,428.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23^2 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 22,343,412

Proper Divisor Sum 13,906,920

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8436479 ← → #8436499

Radix Representation

Decimal	8436492
Binary	100000001011101100001100 (24 bits)
Octal	0o40135414
Hexadecimal	0x80BB0C

Divisor Catalog (54)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 443 529 828 886 1,058 1,329 1,587 1,772 2,116 2,658 3,174 3,987 4,761 5,316 6,348 7,974 9,522 10,189 15,948 19,044 20,378 30,567 40,756 61,134 91,701 122,268 183,402 234,347 366,804 468,694 703,041 937,388 1,406,082 2,109,123 2,812,164 4,218,246 8,436,492

Collatz Trajectory (106 steps to reach 1)

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

8,436,492 4,218,246 2,109,123 6,327,370 3,163,685 9,491,056 4,745,528 2,372,764 1,186,382 593,191 1,779,574 889,787 2,669,362 1,334,681 4,004,044 2,002,022 1,001,011 3,003,034 1,501,517 4,504,552 2,252,276 1,126,138 563,069 1,689,208 844,604 422,302 211,151 633,454 316,727 950,182 475,091 1,425,274 712,637 2,137,912 1,068,956 534,478 267,239 801,718 400,859 1,202,578 601,289 1,803,868 901,934 450,967 1,352,902 676,451 2,029,354 1,014,677 3,044,032 1,522,016 761,008 380,504 190,252 95,126 47,563 142,690 71,345 214,036 107,018 53,509

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