λ
Harmonic Matrix

3,202,629

3 × 197 × 5419
Deficient Odd Composite

3,202,629 has digital root 6. The neighboring primes are 3202607 and 3202663; its proper-divisor sum differs from the starting integer by -2,112,618.

Prime Factor Structure

Factorization String 3 × 197 × 5419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,292,640
Proper Divisor Sum 1,090,011
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3202607 ← → #3202663

Radix Representation

Decimal 3202629
Binary 1100001101111001000101 (22 bits)
Octal 0o14157105
Hexadecimal 0x30DE45

Divisor Catalog (8)

1 3 197 591 5,419 16,257 1,067,543 3,202,629

Collatz Trajectory (94 steps to reach 1)

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

3,202,629 9,607,888 4,803,944 2,401,972 1,200,986 600,493 1,801,480 900,740 450,370 225,185 675,556 337,778 168,889 506,668 253,334 126,667 380,002 190,001 570,004 285,002 142,501 427,504 213,752 106,876 53,438 26,719 80,158 40,079 120,238 60,119 180,358 90,179 270,538 135,269 405,808 202,904 101,452 50,726 25,363 76,090 38,045 114,136 57,068 28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386

More profiles

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