λ
Harmonic Matrix

5,009,343

3 × 1669781
Deficient Odd Composite

5,009,343 has digital root 6. The neighboring primes are 5009341 and 5009359; its proper-divisor sum differs from the starting integer by -3,339,558.

Prime Factor Structure

Factorization String 3 × 1669781
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,679,128
Proper Divisor Sum 1,669,785
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5009341 ← → #5009359

Radix Representation

Decimal 5009343
Binary 10011000110111110111111 (23 bits)
Octal 0o23067677
Hexadecimal 0x4C6FBF

Divisor Catalog (4)

1 3 1,669,781 5,009,343

Collatz Trajectory (188 steps to reach 1)

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

5,009,343 15,028,030 7,514,015 22,542,046 11,271,023 33,813,070 16,906,535 50,719,606 25,359,803 76,079,410 38,039,705 114,119,116 57,059,558 28,529,779 85,589,338 42,794,669 128,384,008 64,192,004 32,096,002 16,048,001 48,144,004 24,072,002 12,036,001 36,108,004 18,054,002 9,027,001 27,081,004 13,540,502 6,770,251 20,310,754 10,155,377 30,466,132 15,233,066 7,616,533 22,849,600 11,424,800 5,712,400 2,856,200 1,428,100 714,050 357,025 1,071,076 535,538 267,769 803,308 401,654 200,827 602,482 301,241 903,724 451,862 225,931 677,794 338,897 1,016,692 508,346 254,173 762,520 381,260 190,630

More profiles

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