λ
Harmonic Matrix

7,210,370

2 × 5 × 721037
Deficient Even Composite

7,210,370 has digital root 2. The neighboring primes are 7210361 and 7210373; its proper-divisor sum differs from the starting integer by -1,442,056.

Prime Factor Structure

Factorization String 2 × 5 × 721037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,978,684
Proper Divisor Sum 5,768,314
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7210361 ← → #7210373

Radix Representation

Decimal 7210370
Binary 11011100000010110000010 (23 bits)
Octal 0o33402602
Hexadecimal 0x6E0582

Divisor Catalog (8)

1 2 5 10 721,037 1,442,074 3,605,185 7,210,370

Collatz Trajectory (191 steps to reach 1)

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

7,210,370 3,605,185 10,815,556 5,407,778 2,703,889 8,111,668 4,055,834 2,027,917 6,083,752 3,041,876 1,520,938 760,469 2,281,408 1,140,704 570,352 285,176 142,588 71,294 35,647 106,942 53,471 160,414 80,207 240,622 120,311 360,934 180,467 541,402 270,701 812,104 406,052 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404

More profiles

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