λ
Math Directory

4,543,002

2 × 32 × 67 × 3767
Abundant Even Composite

4,543,002 factors as 2 × 3^2 × 67 × 3767. Its 24 positive divisors give a proper-divisor sum of 5,449,734, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 67 × 3767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,992,736
Proper Divisor Sum 5,449,734
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4542991 ← → #4543003

Radix Representation

Decimal 4543002
Binary 10001010101001000011010 (23 bits)
Octal 0o21251032
Hexadecimal 0x45521A

Divisor Catalog (24)

1 2 3 6 9 18 67 134 201 402 603 1,206 3,767 7,534 11,301 22,602 33,903 67,806 252,389 504,778 757,167 1,514,334 2,271,501 4,543,002

Collatz Trajectory (87 steps to reach 1)

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

4,543,002 2,271,501 6,814,504 3,407,252 1,703,626 851,813 2,555,440 1,277,720 638,860 319,430 159,715 479,146 239,573 718,720 359,360 179,680 89,840 44,920 22,460 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

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