λ
Harmonic Matrix

2,321,033

11 × 13 × 16231
Deficient Odd Composite

2,321,033 has digital root 5. The neighboring primes are 2321023 and 2321041; its proper-divisor sum differs from the starting integer by -1,915,090.

Prime Factor Structure

Factorization String 11 × 13 × 16231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,726,976
Proper Divisor Sum 405,943
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2321023 ← → #2321041

Radix Representation

Decimal 2321033
Binary 1000110110101010001001 (22 bits)
Octal 0o10665211
Hexadecimal 0x236A89

Divisor Catalog (8)

1 11 13 143 16,231 178,541 211,003 2,321,033

Collatz Trajectory (161 steps to reach 1)

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

2,321,033 6,963,100 3,481,550 1,740,775 5,222,326 2,611,163 7,833,490 3,916,745 11,750,236 5,875,118 2,937,559 8,812,678 4,406,339 13,219,018 6,609,509 19,828,528 9,914,264 4,957,132 2,478,566 1,239,283 3,717,850 1,858,925 5,576,776 2,788,388 1,394,194 697,097 2,091,292 1,045,646 522,823 1,568,470 784,235 2,352,706 1,176,353 3,529,060 1,764,530 882,265 2,646,796 1,323,398 661,699 1,985,098 992,549 2,977,648 1,488,824 744,412 372,206 186,103 558,310 279,155 837,466 418,733 1,256,200 628,100 314,050 157,025 471,076 235,538 117,769 353,308 176,654 88,327

More profiles

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