λ
Prime Ledger

9,524,940

22 × 3 × 5 × 158749
Abundant Even Composite

9,524,940 has the prime decomposition 2^2 × 3 × 5 × 158749. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 158749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,670,000
Proper Divisor Sum 17,145,060
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9524923 ← → #9524941

Radix Representation

Decimal 9524940
Binary 100100010101011011001100 (24 bits)
Octal 0o44253314
Hexadecimal 0x9156CC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 158,749 317,498 476,247 634,996 793,745 952,494 1,587,490 1,904,988 2,381,235 3,174,980 4,762,470 9,524,940

Collatz Trajectory (150 steps to reach 1)

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

9,524,940 4,762,470 2,381,235 7,143,706 3,571,853 10,715,560 5,357,780 2,678,890 1,339,445 4,018,336 2,009,168 1,004,584 502,292 251,146 125,573 376,720 188,360 94,180 47,090 23,545 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425

More profiles

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