λ
Harmonic Matrix

2,349,356

22 × 167 × 3517
Deficient Even Composite

2,349,356 has digital root 5. The neighboring primes are 2349353 and 2349367; its proper-divisor sum differs from the starting integer by -561,544.

Prime Factor Structure

Factorization String 2^2 × 167 × 3517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,137,168
Proper Divisor Sum 1,787,812
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2349353 ← → #2349367

Radix Representation

Decimal 2349356
Binary 1000111101100100101100 (22 bits)
Octal 0o10754454
Hexadecimal 0x23D92C

Divisor Catalog (12)

1 2 4 167 334 668 3,517 7,034 14,068 587,339 1,174,678 2,349,356

Collatz Trajectory (130 steps to reach 1)

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

2,349,356 1,174,678 587,339 1,762,018 881,009 2,643,028 1,321,514 660,757 1,982,272 991,136 495,568 247,784 123,892 61,946 30,973 92,920 46,460 23,230 11,615 34,846 17,423 52,270 26,135 78,406 39,203 117,610 58,805 176,416 88,208 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486

More profiles

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