λ
Sigma Notebook

481,075

52 × 7 × 2749
Deficient Odd Composite

481,075 is odd and not a perfect square. Its factorization is 5^2 × 7 × 2749 and its 12 divisors sum to 682,000.

Prime Factor Structure

Factorization String 5^2 × 7 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 682,000
Proper Divisor Sum 200,925
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #481073 ← → #481087

Radix Representation

Decimal 481075
Binary 1110101011100110011 (19 bits)
Octal 0o1653463
Hexadecimal 0x75733

Divisor Catalog (12)

1 5 7 25 35 175 2,749 13,745 19,243 68,725 96,215 481,075

Collatz Trajectory (213 steps to reach 1)

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

481,075 1,443,226 721,613 2,164,840 1,082,420 541,210 270,605 811,816 405,908 202,954 101,477 304,432 152,216 76,108 38,054 19,027 57,082 28,541 85,624 42,812 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876

More profiles

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