λ
Prime Ledger

9,740,892

22 × 3 × 7 × 115963
Abundant Even Composite

9,740,892 has the prime decomposition 2^2 × 3 × 7 × 115963. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 115963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,975,936
Proper Divisor Sum 16,235,044
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9740869 ← → #9740893

Radix Representation

Decimal 9740892
Binary 100101001010001001011100 (24 bits)
Octal 0o45121134
Hexadecimal 0x94A25C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 115,963 231,926 347,889 463,852 695,778 811,741 1,391,556 1,623,482 2,435,223 3,246,964 4,870,446 9,740,892

Collatz Trajectory (207 steps to reach 1)

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

9,740,892 4,870,446 2,435,223 7,305,670 3,652,835 10,958,506 5,479,253 16,437,760 8,218,880 4,109,440 2,054,720 1,027,360 513,680 256,840 128,420 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

More profiles

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