978,284

2² × 199 × 1229

978,284 has digital root 2. The neighboring primes are 978283 and 978287; its proper-divisor sum differs from the starting integer by -234,568.

Prime Factor Structure

Factorization String 2^2 × 199 × 1229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,722,000

Proper Divisor Sum 743,716

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #978283 ← → #978287

Radix Representation

Decimal	978284
Binary	11101110110101101100 (20 bits)
Octal	0o3566554
Hexadecimal	0xEED6C

Divisor Catalog (12)

1 2 4 199 398 796 1,229 2,458 4,916 244,571 489,142 978,284

Collatz Trajectory (201 steps to reach 1)

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

978,284 489,142 244,571 733,714 366,857 1,100,572 550,286 275,143 825,430 412,715 1,238,146 619,073 1,857,220 928,610 464,305 1,392,916 696,458 348,229 1,044,688 522,344 261,172 130,586 65,293 195,880 97,940 48,970 24,485 73,456 36,728 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

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