λ
Prime Ledger

9,424,752

24 × 3 × 41 × 4789
Abundant Even Composite

9,424,752 has the prime decomposition 2^4 × 3 × 41 × 4789. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 4789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,946,320
Proper Divisor Sum 15,521,568
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9424729 ← → #9424757

Radix Representation

Decimal 9424752
Binary 100011111100111101110000 (24 bits)
Octal 0o43747560
Hexadecimal 0x8FCF70

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1,968 4,789 9,578 14,367 19,156 28,734 38,312 57,468 76,624 114,936 196,349 229,872 392,698 589,047 785,396 1,178,094 1,570,792 2,356,188 3,141,584 4,712,376 9,424,752

Collatz Trajectory (163 steps to reach 1)

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

9,424,752 4,712,376 2,356,188 1,178,094 589,047 1,767,142 883,571 2,650,714 1,325,357 3,976,072 1,988,036 994,018 497,009 1,491,028 745,514 372,757 1,118,272 559,136 279,568 139,784 69,892 34,946 17,473 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47

More profiles

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