λ
Harmonic Matrix

8,484,030

2 × 32 × 5 × 107 × 881
Abundant Even Composite

8,484,030 has digital root 9. The neighboring primes are 8484001 and 8484031; its proper-divisor sum differs from the starting integer by 5,321,844.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 107 × 881
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,289,904
Proper Divisor Sum 13,805,874
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8484001 ← → #8484031

Radix Representation

Decimal 8484030
Binary 100000010111010010111110 (24 bits)
Octal 0o40272276
Hexadecimal 0x8174BE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 881 963 1,070 1,605 1,762 1,926 2,643 3,210 4,405 4,815 5,286 7,929 8,810 9,630 13,215 15,858 26,430 39,645 79,290 94,267 188,534 282,801 471,335 565,602 848,403 942,670 1,414,005 1,696,806 2,828,010 4,242,015 8,484,030

Collatz Trajectory (230 steps to reach 1)

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

8,484,030 4,242,015 12,726,046 6,363,023 19,089,070 9,544,535 28,633,606 14,316,803 42,950,410 21,475,205 64,425,616 32,212,808 16,106,404 8,053,202 4,026,601 12,079,804 6,039,902 3,019,951 9,059,854 4,529,927 13,589,782 6,794,891 20,384,674 10,192,337 30,577,012 15,288,506 7,644,253 22,932,760 11,466,380 5,733,190 2,866,595 8,599,786 4,299,893 12,899,680 6,449,840 3,224,920 1,612,460 806,230 403,115 1,209,346 604,673 1,814,020 907,010 453,505 1,360,516 680,258 340,129 1,020,388 510,194 255,097 765,292 382,646 191,323 573,970 286,985 860,956 430,478 215,239 645,718 322,859

More profiles

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