λ
Harmonic Matrix

2,343,964

22 × 72 × 11959
Abundant Even Composite

2,343,964 has digital root 4. The neighboring primes are 2343949 and 2343967; its proper-divisor sum differs from the starting integer by 84,112.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,772,040
Proper Divisor Sum 2,428,076
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2343949 ← → #2343967

Radix Representation

Decimal 2343964
Binary 1000111100010000011100 (22 bits)
Octal 0o10742034
Hexadecimal 0x23C41C

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 11,959 23,918 47,836 83,713 167,426 334,852 585,991 1,171,982 2,343,964

Collatz Trajectory (148 steps to reach 1)

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

2,343,964 1,171,982 585,991 1,757,974 878,987 2,636,962 1,318,481 3,955,444 1,977,722 988,861 2,966,584 1,483,292 741,646 370,823 1,112,470 556,235 1,668,706 834,353 2,503,060 1,251,530 625,765 1,877,296 938,648 469,324 234,662 117,331 351,994 175,997 527,992 263,996 131,998 65,999 197,998 98,999 296,998 148,499 445,498 222,749 668,248 334,124 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413

More profiles

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