λ
Harmonic Matrix

8,680,324

22 × 43 × 109 × 463
Deficient Even Composite

8,680,324 has digital root 4. The neighboring primes are 8680313 and 8680327; its proper-divisor sum differs from the starting integer by -1,640,328.

Prime Factor Structure

Factorization String 2^2 × 43 × 109 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,720,320
Proper Divisor Sum 7,039,996
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8680313 ← → #8680327

Radix Representation

Decimal 8680324
Binary 100001000111001110000100 (24 bits)
Octal 0o41071604
Hexadecimal 0x847384

Divisor Catalog (24)

1 2 4 43 86 109 172 218 436 463 926 1,852 4,687 9,374 18,748 19,909 39,818 50,467 79,636 100,934 201,868 2,170,081 4,340,162 8,680,324

Collatz Trajectory (119 steps to reach 1)

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

8,680,324 4,340,162 2,170,081 6,510,244 3,255,122 1,627,561 4,882,684 2,441,342 1,220,671 3,662,014 1,831,007 5,493,022 2,746,511 8,239,534 4,119,767 12,359,302 6,179,651 18,538,954 9,269,477 27,808,432 13,904,216 6,952,108 3,476,054 1,738,027 5,214,082 2,607,041 7,821,124 3,910,562 1,955,281 5,865,844 2,932,922 1,466,461 4,399,384 2,199,692 1,099,846 549,923 1,649,770 824,885 2,474,656 1,237,328 618,664 309,332 154,666 77,333 232,000 116,000 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179

More profiles

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