λ
Sigma Notebook

2,107,696

24 × 131731
Deficient Even Composite

2,107,696 is even and not a perfect square. Its factorization is 2^4 × 131731 and its 10 divisors sum to 4,083,692.

Prime Factor Structure

Factorization String 2^4 × 131731
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,083,692
Proper Divisor Sum 1,975,996
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2107669 ← → #2107709

Radix Representation

Decimal 2107696
Binary 1000000010100100110000 (22 bits)
Octal 0o10024460
Hexadecimal 0x202930

Divisor Catalog (10)

1 2 4 8 16 131,731 263,462 526,924 1,053,848 2,107,696

Collatz Trajectory (153 steps to reach 1)

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

2,107,696 1,053,848 526,924 263,462 131,731 395,194 197,597 592,792 296,396 148,198 74,099 222,298 111,149 333,448 166,724 83,362 41,681 125,044 62,522 31,261 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231

More profiles

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