λ
Prime Ledger

9,699,942

2 × 3 × 72 × 32993
Abundant Even Composite

9,699,942 has the prime decomposition 2 × 3 × 7^2 × 32993. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 32993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,567,896
Proper Divisor Sum 12,867,954
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9699941 ← → #9699953

Radix Representation

Decimal 9699942
Binary 100101000000001001100110 (24 bits)
Octal 0o45001146
Hexadecimal 0x940266

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 32,993 65,986 98,979 197,958 230,951 461,902 692,853 1,385,706 1,616,657 3,233,314 4,849,971 9,699,942

Collatz Trajectory (163 steps to reach 1)

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

9,699,942 4,849,971 14,549,914 7,274,957 21,824,872 10,912,436 5,456,218 2,728,109 8,184,328 4,092,164 2,046,082 1,023,041 3,069,124 1,534,562 767,281 2,301,844 1,150,922 575,461 1,726,384 863,192 431,596 215,798 107,899 323,698 161,849 485,548 242,774 121,387 364,162 182,081 546,244 273,122 136,561 409,684 204,842 102,421 307,264 153,632 76,816 38,408 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286

More profiles

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