792,918

2 × 3² × 7² × 29 × 31

792,918 has digital root 9. The neighboring primes are 792907 and 792919; its proper-divisor sum differs from the starting integer by 548,244.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,134,080

Proper Divisor Sum 1,341,162

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #792907 ← → #792919

Radix Representation

Decimal	792918
Binary	11000001100101010110 (20 bits)
Octal	0o3014526
Hexadecimal	0xC1956

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 29 31 42 49 58 62 63 87 93 98 126 147 174 186 203 217 261 279 294 406 434 441 522 558 609 651 882 899 1,218 1,302 1,421 1,519 1,798 1,827 1,953 2,697 2,842 3,038 3,654 3,906 4,263 4,557 5,394 6,293 8,091 8,526 9,114 12,586 12,789 13,671 16,182

Collatz Trajectory (100 steps to reach 1)

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

792,918 396,459 1,189,378 594,689 1,784,068 892,034 446,017 1,338,052 669,026 334,513 1,003,540 501,770 250,885 752,656 376,328 188,164 94,082 47,041 141,124 70,562 35,281 105,844 52,922 26,461 79,384 39,692 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032

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