λ
Prime Ledger

84,704

25 × 2647
Deficient Even Composite

84,704 has the prime decomposition 2^5 × 2647. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 2647
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 166,824
Proper Divisor Sum 82,120
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #84701 ← → #84713

Radix Representation

Decimal 84704
Binary 10100101011100000 (17 bits)
Octal 0o245340
Hexadecimal 0x14AE0

Divisor Catalog (12)

1 2 4 8 16 32 2,647 5,294 10,588 21,176 42,352 84,704

Collatz Trajectory (58 steps to reach 1)

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

84,704 42,352 21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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