λ
Harmonic Matrix

2,163,003

3 × 97 × 7433
Deficient Odd Composite

2,163,003 has digital root 6. The neighboring primes are 2162977 and 2163011; its proper-divisor sum differs from the starting integer by -1,411,878.

Prime Factor Structure

Factorization String 3 × 97 × 7433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,914,128
Proper Divisor Sum 751,125
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2162977 ← → #2163011

Radix Representation

Decimal 2163003
Binary 1000010000000100111011 (22 bits)
Octal 0o10200473
Hexadecimal 0x21013B

Divisor Catalog (8)

1 3 97 291 7,433 22,299 721,001 2,163,003

Collatz Trajectory (148 steps to reach 1)

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

2,163,003 6,489,010 3,244,505 9,733,516 4,866,758 2,433,379 7,300,138 3,650,069 10,950,208 5,475,104 2,737,552 1,368,776 684,388 342,194 171,097 513,292 256,646 128,323 384,970 192,485 577,456 288,728 144,364 72,182 36,091 108,274 54,137 162,412 81,206 40,603 121,810 60,905 182,716 91,358 45,679 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318

More profiles

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