λ
Harmonic Matrix

1,201,241

1201241
Deficient Odd Prime

1,201,241 has digital root 2. The neighboring primes are 1201229 and 1201247; its proper-divisor sum differs from the starting integer by -1,201,240.

Prime Factor Structure

Factorization String 1201241
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,201,242
Proper Divisor Sum 1
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1201229 ← → #1201247

Radix Representation

Decimal 1201241
Binary 100100101010001011001 (21 bits)
Octal 0o4452131
Hexadecimal 0x125459

Divisor Catalog (2)

1 1,201,241

Collatz Trajectory (116 steps to reach 1)

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

1,201,241 3,603,724 1,801,862 900,931 2,702,794 1,351,397 4,054,192 2,027,096 1,013,548 506,774 253,387 760,162 380,081 1,140,244 570,122 285,061 855,184 427,592 213,796 106,898 53,449 160,348 80,174 40,087 120,262 60,131 180,394 90,197 270,592 135,296 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

More profiles

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