λ
Harmonic Matrix

2,623,052

22 × 181 × 3623
Deficient Even Composite

2,623,052 has digital root 2. The neighboring primes are 2623051 and 2623073; its proper-divisor sum differs from the starting integer by -629,128.

Prime Factor Structure

Factorization String 2^2 × 181 × 3623
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,616,976
Proper Divisor Sum 1,993,924
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2623051 ← → #2623073

Radix Representation

Decimal 2623052
Binary 1010000000011001001100 (22 bits)
Octal 0o12003114
Hexadecimal 0x28064C

Divisor Catalog (12)

1 2 4 181 362 724 3,623 7,246 14,492 655,763 1,311,526 2,623,052

Collatz Trajectory (50 steps to reach 1)

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

2,623,052 1,311,526 655,763 1,967,290 983,645 2,950,936 1,475,468 737,734 368,867 1,106,602 553,301 1,659,904 829,952 414,976 207,488 103,744 51,872 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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