λ
Harmonic Matrix

1,633,122

2 × 34 × 17 × 593
Abundant Even Composite

1,633,122 has digital root 9. The neighboring primes are 1633117 and 1633123; its proper-divisor sum differs from the starting integer by 614,952.

Prime Factor Structure

Factorization String 2 × 3^4 × 17 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,881,196
Proper Divisor Sum 2,248,074
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1633117 ← → #1633123

Radix Representation

Decimal 1633122
Binary 110001110101101100010 (21 bits)
Octal 0o6165542
Hexadecimal 0x18EB62

Divisor Catalog (40)

1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 593 918 1,186 1,377 1,779 2,754 3,558 5,337 10,081 10,674 16,011 20,162 30,243 32,022 48,033 60,486 90,729 96,066 181,458 272,187 544,374 816,561 1,633,122

Collatz Trajectory (132 steps to reach 1)

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

1,633,122 816,561 2,449,684 1,224,842 612,421 1,837,264 918,632 459,316 229,658 114,829 344,488 172,244 86,122 43,061 129,184 64,592 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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