λ
Sigma Notebook

2,173,761

32 × 149 × 1621
Deficient Odd Composite

2,173,761 is odd and not a perfect square. Its factorization is 3^2 × 149 × 1621 and its 12 divisors sum to 3,162,900.

Prime Factor Structure

Factorization String 3^2 × 149 × 1621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,162,900
Proper Divisor Sum 989,139
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2173757 ← → #2173763

Radix Representation

Decimal 2173761
Binary 1000010010101101000001 (22 bits)
Octal 0o10225501
Hexadecimal 0x212B41

Divisor Catalog (12)

1 3 9 149 447 1,341 1,621 4,863 14,589 241,529 724,587 2,173,761

Collatz Trajectory (117 steps to reach 1)

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

2,173,761 6,521,284 3,260,642 1,630,321 4,890,964 2,445,482 1,222,741 3,668,224 1,834,112 917,056 458,528 229,264 114,632 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

More profiles

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