λ
Harmonic Matrix

7,956,340

22 × 5 × 7 × 17 × 3343
Abundant Even Composite

7,956,340 has digital root 7. The neighboring primes are 7956329 and 7956349; its proper-divisor sum differs from the starting integer by 4,311,832.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 3343
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,224,512
Proper Divisor Sum 12,268,172
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7956329 ← → #7956349

Radix Representation

Decimal 7956340
Binary 11110010110011101110100 (23 bits)
Octal 0o36263564
Hexadecimal 0x796774

Divisor Catalog (48)

1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1,190 2,380 3,343 6,686 13,372 16,715 23,401 33,430 46,802 56,831 66,860 93,604 113,662 117,005 227,324 234,010 284,155 397,817 468,020 568,310 795,634 1,136,620 1,591,268 1,989,085 3,978,170 7,956,340

Collatz Trajectory (67 steps to reach 1)

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

7,956,340 3,978,170 1,989,085 5,967,256 2,983,628 1,491,814 745,907 2,237,722 1,118,861 3,356,584 1,678,292 839,146 419,573 1,258,720 629,360 314,680 157,340 78,670 39,335 118,006 59,003 177,010 88,505 265,516 132,758 66,379 199,138 99,569 298,708 149,354 74,677 224,032 112,016 56,008 28,004 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40

More profiles

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