λ
Harmonic Matrix

4,824,400

24 × 52 × 7 × 1723
Abundant Even Composite

4,824,400 has digital root 4. The neighboring primes are 4824383 and 4824401; its proper-divisor sum differs from the starting integer by 3,605,312.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,254,112
Proper Divisor Sum 8,429,712
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4824383 ← → #4824401

Radix Representation

Decimal 4824400
Binary 10010011001110101010000 (23 bits)
Octal 0o22316520
Hexadecimal 0x499D50

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 1,723 2,800 3,446 6,892 8,615 12,061 13,784 17,230 24,122 27,568 34,460 43,075 48,244 60,305 68,920 86,150 96,488 120,610 137,840 172,300 192,976 241,220 301,525 344,600 482,440 603,050 689,200 964,880 1,206,100 2,412,200 4,824,400

Collatz Trajectory (69 steps to reach 1)

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

4,824,400 2,412,200 1,206,100 603,050 301,525 904,576 452,288 226,144 113,072 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

More profiles

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