λ
Prime Ledger

9,345,637

7 × 199 × 6709
Deficient Odd Composite

9,345,637 has the prime decomposition 7 × 199 × 6709. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 199 × 6709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,736,000
Proper Divisor Sum 1,390,363
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9345619 ← → #9345641

Radix Representation

Decimal 9345637
Binary 100011101001101001100101 (24 bits)
Octal 0o43515145
Hexadecimal 0x8E9A65

Divisor Catalog (8)

1 7 199 1,393 6,709 46,963 1,335,091 9,345,637

Collatz Trajectory (225 steps to reach 1)

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

9,345,637 28,036,912 14,018,456 7,009,228 3,504,614 1,752,307 5,256,922 2,628,461 7,885,384 3,942,692 1,971,346 985,673 2,957,020 1,478,510 739,255 2,217,766 1,108,883 3,326,650 1,663,325 4,989,976 2,494,988 1,247,494 623,747 1,871,242 935,621 2,806,864 1,403,432 701,716 350,858 175,429 526,288 263,144 131,572 65,786 32,893 98,680 49,340 24,670 12,335 37,006 18,503 55,510 27,755 83,266 41,633 124,900 62,450 31,225 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282

More profiles

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