λ
Sigma Notebook

2,410,434

2 × 32 × 13 × 10301
Abundant Even Composite

2,410,434 is even and not a perfect square. Its factorization is 2 × 3^2 × 13 × 10301 and its 24 divisors sum to 5,624,892.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 10301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,624,892
Proper Divisor Sum 3,214,458
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2410433 ← → #2410453

Radix Representation

Decimal 2410434
Binary 1001001100011111000010 (22 bits)
Octal 0o11143702
Hexadecimal 0x24C7C2

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 10,301 20,602 30,903 61,806 92,709 133,913 185,418 267,826 401,739 803,478 1,205,217 2,410,434

Collatz Trajectory (117 steps to reach 1)

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

2,410,434 1,205,217 3,615,652 1,807,826 903,913 2,711,740 1,355,870 677,935 2,033,806 1,016,903 3,050,710 1,525,355 4,576,066 2,288,033 6,864,100 3,432,050 1,716,025 5,148,076 2,574,038 1,287,019 3,861,058 1,930,529 5,791,588 2,895,794 1,447,897 4,343,692 2,171,846 1,085,923 3,257,770 1,628,885 4,886,656 2,443,328 1,221,664 610,832 305,416 152,708 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425

More profiles

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