λ
Harmonic Matrix

5,018,604

22 × 3 × 17 × 73 × 337
Abundant Even Composite

5,018,604 has digital root 6. The neighboring primes are 5018597 and 5018609; its proper-divisor sum differs from the starting integer by 2,568,840.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 73 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,606,048
Proper Divisor Sum 7,587,444
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5018597 ← → #5018609

Radix Representation

Decimal 5018604
Binary 10011001001001111101100 (23 bits)
Octal 0o23111754
Hexadecimal 0x4C93EC

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 337 438 674 876 1,011 1,241 1,348 2,022 2,482 3,723 4,044 4,964 5,729 7,446 11,458 14,892 17,187 22,916 24,601 34,374 49,202 68,748 73,803 98,404 147,606 295,212 418,217 836,434 1,254,651 1,672,868 2,509,302 5,018,604

Collatz Trajectory (157 steps to reach 1)

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

5,018,604 2,509,302 1,254,651 3,763,954 1,881,977 5,645,932 2,822,966 1,411,483 4,234,450 2,117,225 6,351,676 3,175,838 1,587,919 4,763,758 2,381,879 7,145,638 3,572,819 10,718,458 5,359,229 16,077,688 8,038,844 4,019,422 2,009,711 6,029,134 3,014,567 9,043,702 4,521,851 13,565,554 6,782,777 20,348,332 10,174,166 5,087,083 15,261,250 7,630,625 22,891,876 11,445,938 5,722,969 17,168,908 8,584,454 4,292,227 12,876,682 6,438,341 19,315,024 9,657,512 4,828,756 2,414,378 1,207,189 3,621,568 1,810,784 905,392 452,696 226,348 113,174 56,587 169,762 84,881 254,644 127,322 63,661 190,984

More profiles

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