λ
Harmonic Matrix

4,390,522

2 × 17 × 263 × 491
Deficient Even Composite

4,390,522 has digital root 7. The neighboring primes are 4390489 and 4390523; its proper-divisor sum differs from the starting integer by -1,767,092.

Prime Factor Structure

Factorization String 2 × 17 × 263 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,013,952
Proper Divisor Sum 2,623,430
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4390489 ← → #4390523

Radix Representation

Decimal 4390522
Binary 10000101111111001111010 (23 bits)
Octal 0o20577172
Hexadecimal 0x42FE7A

Divisor Catalog (16)

1 2 17 34 263 491 526 982 4,471 8,347 8,942 16,694 129,133 258,266 2,195,261 4,390,522

Collatz Trajectory (123 steps to reach 1)

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

4,390,522 2,195,261 6,585,784 3,292,892 1,646,446 823,223 2,469,670 1,234,835 3,704,506 1,852,253 5,556,760 2,778,380 1,389,190 694,595 2,083,786 1,041,893 3,125,680 1,562,840 781,420 390,710 195,355 586,066 293,033 879,100 439,550 219,775 659,326 329,663 988,990 494,495 1,483,486 741,743 2,225,230 1,112,615 3,337,846 1,668,923 5,006,770 2,503,385 7,510,156 3,755,078 1,877,539 5,632,618 2,816,309 8,448,928 4,224,464 2,112,232 1,056,116 528,058 264,029 792,088 396,044 198,022 99,011 297,034 148,517 445,552 222,776 111,388 55,694 27,847

More profiles

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