λ
Harmonic Matrix

3,237,242

2 × 17 × 95213
Deficient Even Composite

3,237,242 has digital root 5. The neighboring primes are 3237233 and 3237257; its proper-divisor sum differs from the starting integer by -1,332,928.

Prime Factor Structure

Factorization String 2 × 17 × 95213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,141,556
Proper Divisor Sum 1,904,314
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3237233 ← → #3237257

Radix Representation

Decimal 3237242
Binary 1100010110010101111010 (22 bits)
Octal 0o14262572
Hexadecimal 0x31657A

Divisor Catalog (8)

1 2 17 34 95,213 190,426 1,618,621 3,237,242

Collatz Trajectory (115 steps to reach 1)

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

3,237,242 1,618,621 4,855,864 2,427,932 1,213,966 606,983 1,820,950 910,475 2,731,426 1,365,713 4,097,140 2,048,570 1,024,285 3,072,856 1,536,428 768,214 384,107 1,152,322 576,161 1,728,484 864,242 432,121 1,296,364 648,182 324,091 972,274 486,137 1,458,412 729,206 364,603 1,093,810 546,905 1,640,716 820,358 410,179 1,230,538 615,269 1,845,808 922,904 461,452 230,726 115,363 346,090 173,045 519,136 259,568 129,784 64,892 32,446 16,223 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200

More profiles

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