λ
Sigma Notebook

374,667

3 × 71 × 1759
Deficient Odd Composite

374,667 is odd and not a perfect square. Its factorization is 3 × 71 × 1759 and its 8 divisors sum to 506,880.

Prime Factor Structure

Factorization String 3 × 71 × 1759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 506,880
Proper Divisor Sum 132,213
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #374653 ← → #374669

Radix Representation

Decimal 374667
Binary 1011011011110001011 (19 bits)
Octal 0o1333613
Hexadecimal 0x5B78B

Divisor Catalog (8)

1 3 71 213 1,759 5,277 124,889 374,667

Collatz Trajectory (135 steps to reach 1)

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

374,667 1,124,002 562,001 1,686,004 843,002 421,501 1,264,504 632,252 316,126 158,063 474,190 237,095 711,286 355,643 1,066,930 533,465 1,600,396 800,198 400,099 1,200,298 600,149 1,800,448 900,224 450,112 225,056 112,528 56,264 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378

More profiles

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