λ
Prime Ledger

9,892,394

2 × 372 × 3613
Deficient Even Composite

9,892,394 has the prime decomposition 2 × 37^2 × 3613. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 37^2 × 3613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,254,694
Proper Divisor Sum 5,362,300
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9892387 ← → #9892403

Radix Representation

Decimal 9892394
Binary 100101101111001000101010 (24 bits)
Octal 0o45571052
Hexadecimal 0x96F22A

Divisor Catalog (12)

1 2 37 74 1,369 2,738 3,613 7,226 133,681 267,362 4,946,197 9,892,394

Collatz Trajectory (207 steps to reach 1)

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

9,892,394 4,946,197 14,838,592 7,419,296 3,709,648 1,854,824 927,412 463,706 231,853 695,560 347,780 173,890 86,945 260,836 130,418 65,209 195,628 97,814 48,907 146,722 73,361 220,084 110,042 55,021 165,064 82,532 41,266 20,633 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745

More profiles

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