λ
Harmonic Matrix

1,337,241

3 × 445747
Deficient Odd Composite

1,337,241 has digital root 3. The neighboring primes are 1337227 and 1337261; its proper-divisor sum differs from the starting integer by -891,490.

Prime Factor Structure

Factorization String 3 × 445747
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,782,992
Proper Divisor Sum 445,751
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1337227 ← → #1337261

Radix Representation

Decimal 1337241
Binary 101000110011110011001 (21 bits)
Octal 0o5063631
Hexadecimal 0x146799

Divisor Catalog (4)

1 3 445,747 1,337,241

Collatz Trajectory (186 steps to reach 1)

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

1,337,241 4,011,724 2,005,862 1,002,931 3,008,794 1,504,397 4,513,192 2,256,596 1,128,298 564,149 1,692,448 846,224 423,112 211,556 105,778 52,889 158,668 79,334 39,667 119,002 59,501 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414

More profiles

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