λ
Sigma Notebook

55,001

55001
Deficient Odd Prime

55,001 is odd and not a perfect square. Its factorization is 55001 and its 2 divisors sum to 55,002.

Prime Factor Structure

Factorization String 55001
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 55,002
Proper Divisor Sum 1
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #54983 ← → #55009

Radix Representation

Decimal 55001
Binary 1101011011011001 (16 bits)
Octal 0o153331
Hexadecimal 0xD6D9

Divisor Catalog (2)

1 55,001

Collatz Trajectory (91 steps to reach 1)

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

55,001 165,004 82,502 41,251 123,754 61,877 185,632 92,816 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096

More profiles

← Previous Integer #55,000 Browse Full Index Next Integer #55,002 →