λ
Sigma Notebook

5,722,925

52 × 13 × 17609
Deficient Odd Composite

5,722,925 is odd and not a perfect square. Its factorization is 5^2 × 13 × 17609 and its 12 divisors sum to 7,642,740.

Prime Factor Structure

Factorization String 5^2 × 13 × 17609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,642,740
Proper Divisor Sum 1,919,815
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5722909 ← → #5722943

Radix Representation

Decimal 5722925
Binary 10101110101001100101101 (23 bits)
Octal 0o25651455
Hexadecimal 0x57532D

Divisor Catalog (12)

1 5 13 25 65 325 17,609 88,045 228,917 440,225 1,144,585 5,722,925

Collatz Trajectory (121 steps to reach 1)

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

5,722,925 17,168,776 8,584,388 4,292,194 2,146,097 6,438,292 3,219,146 1,609,573 4,828,720 2,414,360 1,207,180 603,590 301,795 905,386 452,693 1,358,080 679,040 339,520 169,760 84,880 42,440 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010

More profiles

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