λ
Math Directory

978,748

22 × 244687
Deficient Even Composite

978,748 factors as 2^2 × 244687. Its 6 positive divisors give a proper-divisor sum of 734,068, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 244687
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,712,816
Proper Divisor Sum 734,068
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #978743 ← → #978749

Radix Representation

Decimal 978748
Binary 11101110111100111100 (20 bits)
Octal 0o3567474
Hexadecimal 0xEEF3C

Divisor Catalog (6)

1 2 4 244,687 489,374 978,748

Collatz Trajectory (139 steps to reach 1)

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

978,748 489,374 244,687 734,062 367,031 1,101,094 550,547 1,651,642 825,821 2,477,464 1,238,732 619,366 309,683 929,050 464,525 1,393,576 696,788 348,394 174,197 522,592 261,296 130,648 65,324 32,662 16,331 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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