λ
Sigma Notebook

544,455

33 × 5 × 37 × 109
Deficient Odd Composite

544,455 is odd and not a perfect square. Its factorization is 3^3 × 5 × 37 × 109 and its 32 divisors sum to 1,003,200.

Prime Factor Structure

Factorization String 3^3 × 5 × 37 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,003,200
Proper Divisor Sum 458,745
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #544451 ← → #544471

Radix Representation

Decimal 544455
Binary 10000100111011000111 (20 bits)
Octal 0o2047307
Hexadecimal 0x84EC7

Divisor Catalog (32)

1 3 5 9 15 27 37 45 109 111 135 185 327 333 545 555 981 999 1,635 1,665 2,943 4,033 4,905 4,995 12,099 14,715 20,165 36,297 60,495 108,891 181,485 544,455

Collatz Trajectory (89 steps to reach 1)

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

544,455 1,633,366 816,683 2,450,050 1,225,025 3,675,076 1,837,538 918,769 2,756,308 1,378,154 689,077 2,067,232 1,033,616 516,808 258,404 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577

More profiles

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