λ
Match Zalai

433,771

13 × 61 × 547
Deficient Odd Composite

433,771 factors as 13 × 61 × 547. Its 8 positive divisors give a proper-divisor sum of 41,893, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 13 × 61 × 547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 475,664
Proper Divisor Sum 41,893
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #433759 ← → #433777

Radix Representation

Decimal 433771
Binary 1101001111001101011 (19 bits)
Octal 0o1517153
Hexadecimal 0x69E6B

Divisor Catalog (8)

1 13 61 547 793 7,111 33,367 433,771

Collatz Trajectory (231 steps to reach 1)

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

433,771 1,301,314 650,657 1,951,972 975,986 487,993 1,463,980 731,990 365,995 1,097,986 548,993 1,646,980 823,490 411,745 1,235,236 617,618 308,809 926,428 463,214 231,607 694,822 347,411 1,042,234 521,117 1,563,352 781,676 390,838 195,419 586,258 293,129 879,388 439,694 219,847 659,542 329,771 989,314 494,657 1,483,972 741,986 370,993 1,112,980 556,490 278,245 834,736 417,368 208,684 104,342 52,171 156,514 78,257 234,772 117,386 58,693 176,080 88,040 44,020 22,010 11,005 33,016 16,508

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