λ
Prime Ledger

5,588,874

2 × 32 × 41 × 7573
Abundant Even Composite

5,588,874 has the prime decomposition 2 × 3^2 × 41 × 7573. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 7573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,406,212
Proper Divisor Sum 6,817,338
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5588861 ← → #5588923

Radix Representation

Decimal 5588874
Binary 10101010100011110001010 (23 bits)
Octal 0o25243612
Hexadecimal 0x55478A

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 7,573 15,146 22,719 45,438 68,157 136,314 310,493 620,986 931,479 1,862,958 2,794,437 5,588,874

Collatz Trajectory (82 steps to reach 1)

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

5,588,874 2,794,437 8,383,312 4,191,656 2,095,828 1,047,914 523,957 1,571,872 785,936 392,968 196,484 98,242 49,121 147,364 73,682 36,841 110,524 55,262 27,631 82,894 41,447 124,342 62,171 186,514 93,257 279,772 139,886 69,943 209,830 104,915 314,746 157,373 472,120 236,060 118,030 59,015 177,046 88,523 265,570 132,785 398,356 199,178 99,589 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985

More profiles

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