λ
Math Directory

7,798,184

23 × 974773
Deficient Even Composite

7,798,184 factors as 2^3 × 974773. Its 8 positive divisors give a proper-divisor sum of 6,823,426, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 974773
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,621,610
Proper Divisor Sum 6,823,426
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7798171 ← → #7798199

Radix Representation

Decimal 7798184
Binary 11101101111110110101000 (23 bits)
Octal 0o35576650
Hexadecimal 0x76FDA8

Divisor Catalog (8)

1 2 4 8 974,773 1,949,546 3,899,092 7,798,184

Collatz Trajectory (186 steps to reach 1)

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

7,798,184 3,899,092 1,949,546 974,773 2,924,320 1,462,160 731,080 365,540 182,770 91,385 274,156 137,078 68,539 205,618 102,809 308,428 154,214 77,107 231,322 115,661 346,984 173,492 86,746 43,373 130,120 65,060 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245

More profiles

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