λ
Harmonic Matrix

3,237,398

2 × 251 × 6449
Deficient Even Composite

3,237,398 has digital root 8. The neighboring primes are 3237397 and 3237413; its proper-divisor sum differs from the starting integer by -1,598,596.

Prime Factor Structure

Factorization String 2 × 251 × 6449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,876,200
Proper Divisor Sum 1,638,802
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3237397 ← → #3237413

Radix Representation

Decimal 3237398
Binary 1100010110011000010110 (22 bits)
Octal 0o14263026
Hexadecimal 0x316616

Divisor Catalog (8)

1 2 251 502 6,449 12,898 1,618,699 3,237,398

Collatz Trajectory (270 steps to reach 1)

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

3,237,398 1,618,699 4,856,098 2,428,049 7,284,148 3,642,074 1,821,037 5,463,112 2,731,556 1,365,778 682,889 2,048,668 1,024,334 512,167 1,536,502 768,251 2,304,754 1,152,377 3,457,132 1,728,566 864,283 2,592,850 1,296,425 3,889,276 1,944,638 972,319 2,916,958 1,458,479 4,375,438 2,187,719 6,563,158 3,281,579 9,844,738 4,922,369 14,767,108 7,383,554 3,691,777 11,075,332 5,537,666 2,768,833 8,306,500 4,153,250 2,076,625 6,229,876 3,114,938 1,557,469 4,672,408 2,336,204 1,168,102 584,051 1,752,154 876,077 2,628,232 1,314,116 657,058 328,529 985,588 492,794 246,397 739,192

More profiles

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