λ
Harmonic Matrix

4,469,720

23 × 5 × 131 × 853
Abundant Even Composite

4,469,720 has digital root 5. The neighboring primes are 4469719 and 4469723; its proper-divisor sum differs from the starting integer by 1,206,080.

Prime Factor Structure

Factorization String 2^3 × 5 × 131 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,145,520
Proper Divisor Sum 5,675,800
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4469719 ← → #4469723

Radix Representation

Decimal 4469720
Binary 10001000011001111011000 (23 bits)
Octal 0o21031730
Hexadecimal 0x4433D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 131 262 524 655 853 1,048 1,310 1,706 2,620 3,412 4,265 5,240 6,824 8,530 17,060 34,120 111,743 223,486 446,972 558,715 893,944 1,117,430 2,234,860 4,469,720

Collatz Trajectory (87 steps to reach 1)

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

4,469,720 2,234,860 1,117,430 558,715 1,676,146 838,073 2,514,220 1,257,110 628,555 1,885,666 942,833 2,828,500 1,414,250 707,125 2,121,376 1,060,688 530,344 265,172 132,586 66,293 198,880 99,440 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788

More profiles

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