λ
Prime Ledger

97,654

2 × 157 × 311
Deficient Even Composite

97,654 has the prime decomposition 2 × 157 × 311. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 157 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 147,888
Proper Divisor Sum 50,234
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #97651 ← → #97673

Radix Representation

Decimal 97654
Binary 10111110101110110 (17 bits)
Octal 0o276566
Hexadecimal 0x17D76

Divisor Catalog (8)

1 2 157 311 314 622 48,827 97,654

Collatz Trajectory (71 steps to reach 1)

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

97,654 48,827 146,482 73,241 219,724 109,862 54,931 164,794 82,397 247,192 123,596 61,798 30,899 92,698 46,349 139,048 69,524 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106

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