λ
Harmonic Matrix

2,533,335

3 × 5 × 7 × 23 × 1049
Deficient Odd Composite

2,533,335 has digital root 6. The neighboring primes are 2533331 and 2533367; its proper-divisor sum differs from the starting integer by -228,270.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,838,400
Proper Divisor Sum 2,305,065
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2533331 ← → #2533367

Radix Representation

Decimal 2533335
Binary 1001101010011111010111 (22 bits)
Octal 0o11523727
Hexadecimal 0x26A7D7

Divisor Catalog (32)

1 3 5 7 15 21 23 35 69 105 115 161 345 483 805 1,049 2,415 3,147 5,245 7,343 15,735 22,029 24,127 36,715 72,381 110,145 120,635 168,889 361,905 506,667 844,445 2,533,335

Collatz Trajectory (249 steps to reach 1)

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

2,533,335 7,600,006 3,800,003 11,400,010 5,700,005 17,100,016 8,550,008 4,275,004 2,137,502 1,068,751 3,206,254 1,603,127 4,809,382 2,404,691 7,214,074 3,607,037 10,821,112 5,410,556 2,705,278 1,352,639 4,057,918 2,028,959 6,086,878 3,043,439 9,130,318 4,565,159 13,695,478 6,847,739 20,543,218 10,271,609 30,814,828 15,407,414 7,703,707 23,111,122 11,555,561 34,666,684 17,333,342 8,666,671 26,000,014 13,000,007 39,000,022 19,500,011 58,500,034 29,250,017 87,750,052 43,875,026 21,937,513 65,812,540 32,906,270 16,453,135 49,359,406 24,679,703 74,039,110 37,019,555 111,058,666 55,529,333 166,588,000 83,294,000 41,647,000 20,823,500

More profiles

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