λ
Harmonic Matrix

2,341,368

23 × 32 × 31 × 1049
Abundant Even Composite

2,341,368 has digital root 9. The neighboring primes are 2341349 and 2341369; its proper-divisor sum differs from the starting integer by 1,869,264.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,552,000
Proper Divisor Sum 4,210,632
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2341349 ← → #2341369

Radix Representation

Decimal 2341368
Binary 1000111011100111111000 (22 bits)
Octal 0o10734770
Hexadecimal 0x23B9F8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1,049 1,116 2,098 2,232 3,147 4,196 6,294 8,392 9,441 12,588 18,882 25,176 32,519 37,764 65,038 75,528 97,557 130,076 195,114 260,152 292,671 390,228 585,342 780,456 1,170,684 2,341,368

Collatz Trajectory (130 steps to reach 1)

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

2,341,368 1,170,684 585,342 292,671 878,014 439,007 1,317,022 658,511 1,975,534 987,767 2,963,302 1,481,651 4,444,954 2,222,477 6,667,432 3,333,716 1,666,858 833,429 2,500,288 1,250,144 625,072 312,536 156,268 78,134 39,067 117,202 58,601 175,804 87,902 43,951 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854

More profiles

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