λ
Sigma Notebook

2,142,827

97 × 22091
Deficient Odd Composite

2,142,827 is odd and not a perfect square. Its factorization is 97 × 22091 and its 4 divisors sum to 2,165,016.

Prime Factor Structure

Factorization String 97 × 22091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,165,016
Proper Divisor Sum 22,189
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2142823 ← → #2142857

Radix Representation

Decimal 2142827
Binary 1000001011001001101011 (22 bits)
Octal 0o10131153
Hexadecimal 0x20B26B

Divisor Catalog (4)

1 97 22,091 2,142,827

Collatz Trajectory (122 steps to reach 1)

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

2,142,827 6,428,482 3,214,241 9,642,724 4,821,362 2,410,681 7,232,044 3,616,022 1,808,011 5,424,034 2,712,017 8,136,052 4,068,026 2,034,013 6,102,040 3,051,020 1,525,510 762,755 2,288,266 1,144,133 3,432,400 1,716,200 858,100 429,050 214,525 643,576 321,788 160,894 80,447 241,342 120,671 362,014 181,007 543,022 271,511 814,534 407,267 1,221,802 610,901 1,832,704 916,352 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594

More profiles

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