825,378

2 × 3 × 23 × 5981

825,378 is even and not a perfect square. Its factorization is 2 × 3 × 23 × 5981 and its 16 divisors sum to 1,722,816.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 5981

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,722,816

Proper Divisor Sum 897,438

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #825361 ← → #825389

Radix Representation

Decimal	825378
Binary	11001001100000100010 (20 bits)
Octal	0o3114042
Hexadecimal	0xC9822

Divisor Catalog (16)

1 2 3 6 23 46 69 138 5,981 11,962 17,943 35,886 137,563 275,126 412,689 825,378

Collatz Trajectory (193 steps to reach 1)

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

825,378 412,689 1,238,068 619,034 309,517 928,552 464,276 232,138 116,069 348,208 174,104 87,052 43,526 21,763 65,290 32,645 97,936 48,968 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527

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