λ
Harmonic Matrix

2,423,623

311 × 7793
Deficient Odd Composite

2,423,623 has digital root 4. The neighboring primes are 2423593 and 2423627; its proper-divisor sum differs from the starting integer by -2,415,518.

Prime Factor Structure

Factorization String 311 × 7793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,431,728
Proper Divisor Sum 8,105
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2423593 ← → #2423627

Radix Representation

Decimal 2423623
Binary 1001001111101101000111 (22 bits)
Octal 0o11175507
Hexadecimal 0x24FB47

Divisor Catalog (4)

1 311 7,793 2,423,623

Collatz Trajectory (223 steps to reach 1)

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

2,423,623 7,270,870 3,635,435 10,906,306 5,453,153 16,359,460 8,179,730 4,089,865 12,269,596 6,134,798 3,067,399 9,202,198 4,601,099 13,803,298 6,901,649 20,704,948 10,352,474 5,176,237 15,528,712 7,764,356 3,882,178 1,941,089 5,823,268 2,911,634 1,455,817 4,367,452 2,183,726 1,091,863 3,275,590 1,637,795 4,913,386 2,456,693 7,370,080 3,685,040 1,842,520 921,260 460,630 230,315 690,946 345,473 1,036,420 518,210 259,105 777,316 388,658 194,329 582,988 291,494 145,747 437,242 218,621 655,864 327,932 163,966 81,983 245,950 122,975 368,926 184,463 553,390

More profiles

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