λ
Sigma Notebook

465,219

32 × 51691
Deficient Odd Composite

465,219 is odd and not a perfect square. Its factorization is 3^2 × 51691 and its 6 divisors sum to 671,996.

Prime Factor Structure

Factorization String 3^2 × 51691
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 671,996
Proper Divisor Sum 206,777
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #465211 ← → #465259

Radix Representation

Decimal 465219
Binary 1110001100101000011 (19 bits)
Octal 0o1614503
Hexadecimal 0x71943

Divisor Catalog (6)

1 3 9 51,691 155,073 465,219

Collatz Trajectory (231 steps to reach 1)

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

465,219 1,395,658 697,829 2,093,488 1,046,744 523,372 261,686 130,843 392,530 196,265 588,796 294,398 147,199 441,598 220,799 662,398 331,199 993,598 496,799 1,490,398 745,199 2,235,598 1,117,799 3,353,398 1,676,699 5,030,098 2,515,049 7,545,148 3,772,574 1,886,287 5,658,862 2,829,431 8,488,294 4,244,147 12,732,442 6,366,221 19,098,664 9,549,332 4,774,666 2,387,333 7,162,000 3,581,000 1,790,500 895,250 447,625 1,342,876 671,438 335,719 1,007,158 503,579 1,510,738 755,369 2,266,108 1,133,054 566,527 1,699,582 849,791 2,549,374 1,274,687 3,824,062

More profiles

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