λ
Harmonic Matrix

5,498,252

22 × 83 × 16561
Deficient Even Composite

5,498,252 has digital root 8. The neighboring primes are 5498209 and 5498257; its proper-divisor sum differs from the starting integer by -1,258,048.

Prime Factor Structure

Factorization String 2^2 × 83 × 16561
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,738,456
Proper Divisor Sum 4,240,204
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5498209 ← → #5498257

Radix Representation

Decimal 5498252
Binary 10100111110010110001100 (23 bits)
Octal 0o24762614
Hexadecimal 0x53E58C

Divisor Catalog (12)

1 2 4 83 166 332 16,561 33,122 66,244 1,374,563 2,749,126 5,498,252

Collatz Trajectory (232 steps to reach 1)

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

5,498,252 2,749,126 1,374,563 4,123,690 2,061,845 6,185,536 3,092,768 1,546,384 773,192 386,596 193,298 96,649 289,948 144,974 72,487 217,462 108,731 326,194 163,097 489,292 244,646 122,323 366,970 183,485 550,456 275,228 137,614 68,807 206,422 103,211 309,634 154,817 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882

More profiles

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