λ
Sigma Notebook

43,577

43577
Deficient Odd Prime

43,577 is odd and not a perfect square. Its factorization is 43577 and its 2 divisors sum to 43,578.

Prime Factor Structure

Factorization String 43577
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 43,578
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #43573 ← → #43579

Radix Representation

Decimal 43577
Binary 1010101000111001 (16 bits)
Octal 0o125071
Hexadecimal 0xAA39

Divisor Catalog (2)

1 43,577

Collatz Trajectory (163 steps to reach 1)

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

43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47

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