λ
Sigma Notebook

5,100,080

24 × 5 × 37 × 1723
Abundant Even Composite

5,100,080 is even and not a perfect square. Its factorization is 2^4 × 5 × 37 × 1723 and its 40 divisors sum to 12,185,232.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,185,232
Proper Divisor Sum 7,085,152
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5100079 ← → #5100083

Radix Representation

Decimal 5100080
Binary 10011011101001000110000 (23 bits)
Octal 0o23351060
Hexadecimal 0x4DD230

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1,480 1,723 2,960 3,446 6,892 8,615 13,784 17,230 27,568 34,460 63,751 68,920 127,502 137,840 255,004 318,755 510,008 637,510 1,020,016 1,275,020 2,550,040 5,100,080

Collatz Trajectory (175 steps to reach 1)

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

5,100,080 2,550,040 1,275,020 637,510 318,755 956,266 478,133 1,434,400 717,200 358,600 179,300 89,650 44,825 134,476 67,238 33,619 100,858 50,429 151,288 75,644 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392

More profiles

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