λ
Sigma Notebook

356,427

33 × 43 × 307
Deficient Odd Composite

356,427 is odd and not a perfect square. Its factorization is 3^3 × 43 × 307 and its 16 divisors sum to 542,080.

Prime Factor Structure

Factorization String 3^3 × 43 × 307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 542,080
Proper Divisor Sum 185,653
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #356399 ← → #356441

Radix Representation

Decimal 356427
Binary 1010111000001001011 (19 bits)
Octal 0o1270113
Hexadecimal 0x5704B

Divisor Catalog (16)

1 3 9 27 43 129 307 387 921 1,161 2,763 8,289 13,201 39,603 118,809 356,427

Collatz Trajectory (96 steps to reach 1)

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

356,427 1,069,282 534,641 1,603,924 801,962 400,981 1,202,944 601,472 300,736 150,368 75,184 37,592 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263

More profiles

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