λ
Sigma Notebook

2,110,647

3 × 7 × 11 × 9137
Deficient Odd Composite

2,110,647 is odd and not a perfect square. Its factorization is 3 × 7 × 11 × 9137 and its 16 divisors sum to 3,508,992.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 9137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,508,992
Proper Divisor Sum 1,398,345
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2110637 ← → #2110657

Radix Representation

Decimal 2110647
Binary 1000000011010010110111 (22 bits)
Octal 0o10032267
Hexadecimal 0x2034B7

Divisor Catalog (16)

1 3 7 11 21 33 77 231 9,137 27,411 63,959 100,507 191,877 301,521 703,549 2,110,647

Collatz Trajectory (127 steps to reach 1)

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

2,110,647 6,331,942 3,165,971 9,497,914 4,748,957 14,246,872 7,123,436 3,561,718 1,780,859 5,342,578 2,671,289 8,013,868 4,006,934 2,003,467 6,010,402 3,005,201 9,015,604 4,507,802 2,253,901 6,761,704 3,380,852 1,690,426 845,213 2,535,640 1,267,820 633,910 316,955 950,866 475,433 1,426,300 713,150 356,575 1,069,726 534,863 1,604,590 802,295 2,406,886 1,203,443 3,610,330 1,805,165 5,415,496 2,707,748 1,353,874 676,937 2,030,812 1,015,406 507,703 1,523,110 761,555 2,284,666 1,142,333 3,427,000 1,713,500 856,750 428,375 1,285,126 642,563 1,927,690 963,845 2,891,536

More profiles

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