λ
Harmonic Matrix

8,428,047

3 × 2809349
Deficient Odd Composite

8,428,047 has digital root 6. The neighboring primes are 8428037 and 8428061; its proper-divisor sum differs from the starting integer by -5,618,694.

Prime Factor Structure

Factorization String 3 × 2809349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,237,400
Proper Divisor Sum 2,809,353
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8428037 ← → #8428061

Radix Representation

Decimal 8428047
Binary 100000001001101000001111 (24 bits)
Octal 0o40115017
Hexadecimal 0x809A0F

Divisor Catalog (4)

1 3 2,809,349 8,428,047

Collatz Trajectory (274 steps to reach 1)

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

8,428,047 25,284,142 12,642,071 37,926,214 18,963,107 56,889,322 28,444,661 85,333,984 42,666,992 21,333,496 10,666,748 5,333,374 2,666,687 8,000,062 4,000,031 12,000,094 6,000,047 18,000,142 9,000,071 27,000,214 13,500,107 40,500,322 20,250,161 60,750,484 30,375,242 15,187,621 45,562,864 22,781,432 11,390,716 5,695,358 2,847,679 8,543,038 4,271,519 12,814,558 6,407,279 19,221,838 9,610,919 28,832,758 14,416,379 43,249,138 21,624,569 64,873,708 32,436,854 16,218,427 48,655,282 24,327,641 72,982,924 36,491,462 18,245,731 54,737,194 27,368,597 82,105,792 41,052,896 20,526,448 10,263,224 5,131,612 2,565,806 1,282,903 3,848,710 1,924,355

More profiles

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