4,997,200

2⁴ × 5² × 13 × 31²

4,997,200 has digital root 4. The neighboring primes are 4997191 and 4997219; its proper-divisor sum differs from the starting integer by 3,365,422.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 13,359,822

Proper Divisor Sum 8,362,622

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4997191 ← → #4997219

Radix Representation

Decimal	4997200
Binary	10011000100000001010000 (23 bits)
Octal	0o23040120
Hexadecimal	0x4C4050

Divisor Catalog (60 of 90)

1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 130 155 200 208 248 260 310 325 400 403 496 520 620 650 775 806 961 1,040 1,240 1,300 1,550 1,612 1,922 2,015 2,480 2,600 3,100 3,224 3,844 4,030 4,805 5,200 6,200 6,448 7,688 8,060 9,610 10,075 12,400

Collatz Trajectory (131 steps to reach 1)

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

4,997,200 2,498,600 1,249,300 624,650 312,325 936,976 468,488 234,244 117,122 58,561 175,684 87,842 43,921 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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