λ
Harmonic Matrix

4,634,270

2 × 5 × 23 × 20149
Deficient Even Composite

4,634,270 has digital root 8. The neighboring primes are 4634263 and 4634281; its proper-divisor sum differs from the starting integer by -563,740.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 20149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,704,800
Proper Divisor Sum 4,070,530
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4634263 ← → #4634281

Radix Representation

Decimal 4634270
Binary 10001101011011010011110 (23 bits)
Octal 0o21533236
Hexadecimal 0x46B69E

Divisor Catalog (16)

1 2 5 10 23 46 115 230 20,149 40,298 100,745 201,490 463,427 926,854 2,317,135 4,634,270

Collatz Trajectory (206 steps to reach 1)

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

4,634,270 2,317,135 6,951,406 3,475,703 10,427,110 5,213,555 15,640,666 7,820,333 23,461,000 11,730,500 5,865,250 2,932,625 8,797,876 4,398,938 2,199,469 6,598,408 3,299,204 1,649,602 824,801 2,474,404 1,237,202 618,601 1,855,804 927,902 463,951 1,391,854 695,927 2,087,782 1,043,891 3,131,674 1,565,837 4,697,512 2,348,756 1,174,378 587,189 1,761,568 880,784 440,392 220,196 110,098 55,049 165,148 82,574 41,287 123,862 61,931 185,794 92,897 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363

More profiles

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