λ
Sigma Notebook

2,157,731

2157731
Deficient Odd Prime

2,157,731 is odd and not a perfect square. Its factorization is 2157731 and its 2 divisors sum to 2,157,732.

Prime Factor Structure

Factorization String 2157731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,157,732
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2157721 ← → #2157733

Radix Representation

Decimal 2157731
Binary 1000001110110010100011 (22 bits)
Octal 0o10166243
Hexadecimal 0x20ECA3

Divisor Catalog (2)

Collatz Trajectory (241 steps to reach 1)

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

2,157,731 6,473,194 3,236,597 9,709,792 4,854,896 2,427,448 1,213,724 606,862 303,431 910,294 455,147 1,365,442 682,721 2,048,164 1,024,082 512,041 1,536,124 768,062 384,031 1,152,094 576,047 1,728,142 864,071 2,592,214 1,296,107 3,888,322 1,944,161 5,832,484 2,916,242 1,458,121 4,374,364 2,187,182 1,093,591 3,280,774 1,640,387 4,921,162 2,460,581 7,381,744 3,690,872 1,845,436 922,718 461,359 1,384,078 692,039 2,076,118 1,038,059 3,114,178 1,557,089 4,671,268 2,335,634 1,167,817 3,503,452 1,751,726 875,863 2,627,590 1,313,795 3,941,386 1,970,693 5,912,080 2,956,040

More profiles

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