λ
Harmonic Matrix

8,542,992

24 × 3 × 177979
Abundant Even Composite

8,542,992 has digital root 3. The neighboring primes are 8542979 and 8542999; its proper-divisor sum differs from the starting integer by 4,983,536.

Prime Factor Structure

Factorization String 2^4 × 3 × 177979
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,069,520
Proper Divisor Sum 13,526,528
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8542979 ← → #8542999

Radix Representation

Decimal 8542992
Binary 100000100101101100010000 (24 bits)
Octal 0o40455420
Hexadecimal 0x825B10

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 177,979 355,958 533,937 711,916 1,067,874 1,423,832 2,135,748 2,847,664 4,271,496 8,542,992

Collatz Trajectory (98 steps to reach 1)

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

8,542,992 4,271,496 2,135,748 1,067,874 533,937 1,601,812 800,906 400,453 1,201,360 600,680 300,340 150,170 75,085 225,256 112,628 56,314 28,157 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034

More profiles

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