λ
Match Zalai

476,019

32 × 227 × 233
Deficient Odd Composite

476,019 factors as 3^2 × 227 × 233. Its 12 positive divisors give a proper-divisor sum of 217,557, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3^2 × 227 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 693,576
Proper Divisor Sum 217,557
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #476009 ← → #476023

Radix Representation

Decimal 476019
Binary 1110100001101110011 (19 bits)
Octal 0o1641563
Hexadecimal 0x74373

Divisor Catalog (12)

1 3 9 227 233 681 699 2,043 2,097 52,891 158,673 476,019

Collatz Trajectory (169 steps to reach 1)

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

476,019 1,428,058 714,029 2,142,088 1,071,044 535,522 267,761 803,284 401,642 200,821 602,464 301,232 150,616 75,308 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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