λ
Harmonic Matrix

4,315,552

25 × 17 × 7933
Abundant Even Composite

4,315,552 has digital root 7. The neighboring primes are 4315543 and 4315573; its proper-divisor sum differs from the starting integer by 366,052.

Prime Factor Structure

Factorization String 2^5 × 17 × 7933
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,997,156
Proper Divisor Sum 4,681,604
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4315543 ← → #4315573

Radix Representation

Decimal 4315552
Binary 10000011101100110100000 (23 bits)
Octal 0o20354640
Hexadecimal 0x41D9A0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 7,933 15,866 31,732 63,464 126,928 134,861 253,856 269,722 539,444 1,078,888 2,157,776 4,315,552

Collatz Trajectory (167 steps to reach 1)

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

4,315,552 2,157,776 1,078,888 539,444 269,722 134,861 404,584 202,292 101,146 50,573 151,720 75,860 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576

More profiles

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