823,416

2³ × 3 × 11 × 3119

823,416 factors as 2^3 × 3 × 11 × 3119. Its 32 positive divisors give a proper-divisor sum of 1,422,984, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 3119

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,246,400

Proper Divisor Sum 1,422,984

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #823399 ← → #823421

Radix Representation

Decimal	823416
Binary	11001001000001111000 (20 bits)
Octal	0o3110170
Hexadecimal	0xC9078

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3,119 6,238 9,357 12,476 18,714 24,952 34,309 37,428 68,618 74,856 102,927 137,236 205,854 274,472 411,708 823,416

Collatz Trajectory (219 steps to reach 1)

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

823,416 411,708 205,854 102,927 308,782 154,391 463,174 231,587 694,762 347,381 1,042,144 521,072 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080

More profiles

9,078,249 7,874,817 2,867,276 8,353,798 8,989,406 704,034 3,379,577 7,323,301 5,150,580 6,921,700 1,671,846 3,825,325 4,770,776 300,080 4,292,468 2,731,229

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