λ
Harmonic Matrix

9,341,682

2 × 3 × 7 × 97 × 2293
Abundant Even Composite

9,341,682 has digital root 6. The neighboring primes are 9341681 and 9341713; its proper-divisor sum differs from the starting integer by 2,898,588.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 97 × 2293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,581,952
Proper Divisor Sum 12,240,270
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9341681 ← → #9341713

Radix Representation

Decimal 9341682
Binary 100011101000101011110010 (24 bits)
Octal 0o43505362
Hexadecimal 0x8E8AF2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 97 194 291 582 679 1,358 2,037 2,293 4,074 4,586 6,879 13,758 16,051 32,102 48,153 96,306 222,421 444,842 667,263 1,334,526 1,556,947 3,113,894 4,670,841 9,341,682

Collatz Trajectory (256 steps to reach 1)

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

9,341,682 4,670,841 14,012,524 7,006,262 3,503,131 10,509,394 5,254,697 15,764,092 7,882,046 3,941,023 11,823,070 5,911,535 17,734,606 8,867,303 26,601,910 13,300,955 39,902,866 19,951,433 59,854,300 29,927,150 14,963,575 44,890,726 22,445,363 67,336,090 33,668,045 101,004,136 50,502,068 25,251,034 12,625,517 37,876,552 18,938,276 9,469,138 4,734,569 14,203,708 7,101,854 3,550,927 10,652,782 5,326,391 15,979,174 7,989,587 23,968,762 11,984,381 35,953,144 17,976,572 8,988,286 4,494,143 13,482,430 6,741,215 20,223,646 10,111,823 30,335,470 15,167,735 45,503,206 22,751,603 68,254,810 34,127,405 102,382,216 51,191,108 25,595,554 12,797,777

More profiles

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