λ
Harmonic Matrix

2,391,297

3 × 67 × 11897
Deficient Odd Composite

2,391,297 has digital root 6. The neighboring primes are 2391293 and 2391331; its proper-divisor sum differs from the starting integer by -1,546,338.

Prime Factor Structure

Factorization String 3 × 67 × 11897
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,236,256
Proper Divisor Sum 844,959
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2391293 ← → #2391331

Radix Representation

Decimal 2391297
Binary 1001000111110100000001 (22 bits)
Octal 0o11076401
Hexadecimal 0x247D01

Divisor Catalog (8)

1 3 67 201 11,897 35,691 797,099 2,391,297

Collatz Trajectory (148 steps to reach 1)

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

2,391,297 7,173,892 3,586,946 1,793,473 5,380,420 2,690,210 1,345,105 4,035,316 2,017,658 1,008,829 3,026,488 1,513,244 756,622 378,311 1,134,934 567,467 1,702,402 851,201 2,553,604 1,276,802 638,401 1,915,204 957,602 478,801 1,436,404 718,202 359,101 1,077,304 538,652 269,326 134,663 403,990 201,995 605,986 302,993 908,980 454,490 227,245 681,736 340,868 170,434 85,217 255,652 127,826 63,913 191,740 95,870 47,935 143,806 71,903 215,710 107,855 323,566 161,783 485,350 242,675 728,026 364,013 1,092,040 546,020

More profiles

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