λ
Math Directory

7,961,384

23 × 995173
Deficient Even Composite

7,961,384 factors as 2^3 × 995173. Its 8 positive divisors give a proper-divisor sum of 6,966,226, so this integer is deficient. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^3 × 995173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,927,610
Proper Divisor Sum 6,966,226
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7961363 ← → #7961411

Radix Representation

Decimal 7961384
Binary 11110010111101100101000 (23 bits)
Octal 0o36275450
Hexadecimal 0x797B28

Divisor Catalog (8)

1 2 4 8 995,173 1,990,346 3,980,692 7,961,384

Collatz Trajectory (49 steps to reach 1)

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

7,961,384 3,980,692 1,990,346 995,173 2,985,520 1,492,760 746,380 373,190 186,595 559,786 279,893 839,680 419,840 209,920 104,960 52,480 26,240 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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