λ
Harmonic Matrix

5,097,388

22 × 29 × 43943
Deficient Even Composite

5,097,388 has digital root 4. The neighboring primes are 5097353 and 5097401; its proper-divisor sum differs from the starting integer by -966,536.

Prime Factor Structure

Factorization String 2^2 × 29 × 43943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,228,240
Proper Divisor Sum 4,130,852
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5097353 ← → #5097401

Radix Representation

Decimal 5097388
Binary 10011011100011110101100 (23 bits)
Octal 0o23343654
Hexadecimal 0x4DC7AC

Divisor Catalog (12)

1 2 4 29 58 116 43,943 87,886 175,772 1,274,347 2,548,694 5,097,388

Collatz Trajectory (206 steps to reach 1)

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

5,097,388 2,548,694 1,274,347 3,823,042 1,911,521 5,734,564 2,867,282 1,433,641 4,300,924 2,150,462 1,075,231 3,225,694 1,612,847 4,838,542 2,419,271 7,257,814 3,628,907 10,886,722 5,443,361 16,330,084 8,165,042 4,082,521 12,247,564 6,123,782 3,061,891 9,185,674 4,592,837 13,778,512 6,889,256 3,444,628 1,722,314 861,157 2,583,472 1,291,736 645,868 322,934 161,467 484,402 242,201 726,604 363,302 181,651 544,954 272,477 817,432 408,716 204,358 102,179 306,538 153,269 459,808 229,904 114,952 57,476 28,738 14,369 43,108 21,554 10,777 32,332

More profiles

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