λ
Harmonic Matrix

3,008,443

503 × 5981
Deficient Odd Composite

3,008,443 has digital root 4. The neighboring primes are 3008437 and 3008449; its proper-divisor sum differs from the starting integer by -3,001,958.

Prime Factor Structure

Factorization String 503 × 5981
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,014,928
Proper Divisor Sum 6,485
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3008437 ← → #3008449

Radix Representation

Decimal 3008443
Binary 1011011110011110111011 (22 bits)
Octal 0o13363673
Hexadecimal 0x2DE7BB

Divisor Catalog (4)

1 503 5,981 3,008,443

Collatz Trajectory (164 steps to reach 1)

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

3,008,443 9,025,330 4,512,665 13,537,996 6,768,998 3,384,499 10,153,498 5,076,749 15,230,248 7,615,124 3,807,562 1,903,781 5,711,344 2,855,672 1,427,836 713,918 356,959 1,070,878 535,439 1,606,318 803,159 2,409,478 1,204,739 3,614,218 1,807,109 5,421,328 2,710,664 1,355,332 677,666 338,833 1,016,500 508,250 254,125 762,376 381,188 190,594 95,297 285,892 142,946 71,473 214,420 107,210 53,605 160,816 80,408 40,204 20,102 10,051 30,154 15,077 45,232 22,616 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181

More profiles

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