λ
Harmonic Matrix

3,038,047

232 × 5743
Deficient Odd Composite

3,038,047 has digital root 7. The neighboring primes are 3038039 and 3038071; its proper-divisor sum differs from the starting integer by -2,899,662.

Prime Factor Structure

Factorization String 23^2 × 5743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,176,432
Proper Divisor Sum 138,385
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3038039 ← → #3038071

Radix Representation

Decimal 3038047
Binary 1011100101101101011111 (22 bits)
Octal 0o13455537
Hexadecimal 0x2E5B5F

Divisor Catalog (6)

1 23 529 5,743 132,089 3,038,047

Collatz Trajectory (226 steps to reach 1)

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

3,038,047 9,114,142 4,557,071 13,671,214 6,835,607 20,506,822 10,253,411 30,760,234 15,380,117 46,140,352 23,070,176 11,535,088 5,767,544 2,883,772 1,441,886 720,943 2,162,830 1,081,415 3,244,246 1,622,123 4,866,370 2,433,185 7,299,556 3,649,778 1,824,889 5,474,668 2,737,334 1,368,667 4,106,002 2,053,001 6,159,004 3,079,502 1,539,751 4,619,254 2,309,627 6,928,882 3,464,441 10,393,324 5,196,662 2,598,331 7,794,994 3,897,497 11,692,492 5,846,246 2,923,123 8,769,370 4,384,685 13,154,056 6,577,028 3,288,514 1,644,257 4,932,772 2,466,386 1,233,193 3,699,580 1,849,790 924,895 2,774,686 1,387,343 4,162,030

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