λ
Harmonic Matrix

4,423,160

23 × 5 × 7 × 15797
Abundant Even Composite

4,423,160 has digital root 2. The neighboring primes are 4423157 and 4423163; its proper-divisor sum differs from the starting integer by 2,528,240.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 15797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,374,560
Proper Divisor Sum 6,951,400
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4423157 ← → #4423163

Radix Representation

Decimal 4423160
Binary 10000110111110111111000 (23 bits)
Octal 0o20676770
Hexadecimal 0x437DF8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15,797 31,594 63,188 78,985 110,579 126,376 157,970 221,158 315,940 442,316 552,895 631,880 884,632 1,105,790 2,211,580 4,423,160

Collatz Trajectory (167 steps to reach 1)

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

4,423,160 2,211,580 1,105,790 552,895 1,658,686 829,343 2,488,030 1,244,015 3,732,046 1,866,023 5,598,070 2,799,035 8,397,106 4,198,553 12,595,660 6,297,830 3,148,915 9,446,746 4,723,373 14,170,120 7,085,060 3,542,530 1,771,265 5,313,796 2,656,898 1,328,449 3,985,348 1,992,674 996,337 2,989,012 1,494,506 747,253 2,241,760 1,120,880 560,440 280,220 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055

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