λ
Harmonic Matrix

3,245,221

72 × 103 × 643
Deficient Odd Composite

3,245,221 has digital root 1. The neighboring primes are 3245213 and 3245237; its proper-divisor sum differs from the starting integer by -2,672,810.

Prime Factor Structure

Factorization String 7^2 × 103 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,817,632
Proper Divisor Sum 572,411
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3245213 ← → #3245237

Radix Representation

Decimal 3245221
Binary 1100011000010010100101 (22 bits)
Octal 0o14302245
Hexadecimal 0x3184A5

Divisor Catalog (12)

1 7 49 103 643 721 4,501 5,047 31,507 66,229 463,603 3,245,221

Collatz Trajectory (146 steps to reach 1)

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

3,245,221 9,735,664 4,867,832 2,433,916 1,216,958 608,479 1,825,438 912,719 2,738,158 1,369,079 4,107,238 2,053,619 6,160,858 3,080,429 9,241,288 4,620,644 2,310,322 1,155,161 3,465,484 1,732,742 866,371 2,599,114 1,299,557 3,898,672 1,949,336 974,668 487,334 243,667 731,002 365,501 1,096,504 548,252 274,126 137,063 411,190 205,595 616,786 308,393 925,180 462,590 231,295 693,886 346,943 1,040,830 520,415 1,561,246 780,623 2,341,870 1,170,935 3,512,806 1,756,403 5,269,210 2,634,605 7,903,816 3,951,908 1,975,954 987,977 2,963,932 1,481,966 740,983

More profiles

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