λ
Prime Ledger

9,538,768

24 × 17 × 35069
Abundant Even Composite

9,538,768 has the prime decomposition 2^4 × 17 × 35069. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 35069
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,569,060
Proper Divisor Sum 10,030,292
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9538759 ← → #9538783

Radix Representation

Decimal 9538768
Binary 100100011000110011010000 (24 bits)
Octal 0o44306320
Hexadecimal 0x918CD0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 35,069 70,138 140,276 280,552 561,104 596,173 1,192,346 2,384,692 4,769,384 9,538,768

Collatz Trajectory (145 steps to reach 1)

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

9,538,768 4,769,384 2,384,692 1,192,346 596,173 1,788,520 894,260 447,130 223,565 670,696 335,348 167,674 83,837 251,512 125,756 62,878 31,439 94,318 47,159 141,478 70,739 212,218 106,109 318,328 159,164 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350 80,675 242,026 121,013 363,040

More profiles

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