λ
Sigma Notebook

2,507,856

24 × 3 × 13 × 4019
Abundant Even Composite

2,507,856 is even and not a perfect square. Its factorization is 2^4 × 3 × 13 × 4019 and its 40 divisors sum to 6,978,720.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 4019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,978,720
Proper Divisor Sum 4,470,864
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2507837 ← → #2507861

Radix Representation

Decimal 2507856
Binary 1001100100010001010000 (22 bits)
Octal 0o11442120
Hexadecimal 0x264450

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4,019 8,038 12,057 16,076 24,114 32,152 48,228 52,247 64,304 96,456 104,494 156,741 192,912 208,988 313,482 417,976 626,964 835,952 1,253,928 2,507,856

Collatz Trajectory (174 steps to reach 1)

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

2,507,856 1,253,928 626,964 313,482 156,741 470,224 235,112 117,556 58,778 29,389 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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