λ
Harmonic Matrix

2,240,523

32 × 173 × 1439
Deficient Odd Composite

2,240,523 has digital root 9. The neighboring primes are 2240507 and 2240531; its proper-divisor sum differs from the starting integer by -1,223,766.

Prime Factor Structure

Factorization String 3^2 × 173 × 1439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,257,280
Proper Divisor Sum 1,016,757
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2240507 ← → #2240531

Radix Representation

Decimal 2240523
Binary 1000100011000000001011 (22 bits)
Octal 0o10430013
Hexadecimal 0x22300B

Divisor Catalog (12)

1 3 9 173 519 1,439 1,557 4,317 12,951 248,947 746,841 2,240,523

Collatz Trajectory (60 steps to reach 1)

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

2,240,523 6,721,570 3,360,785 10,082,356 5,041,178 2,520,589 7,561,768 3,780,884 1,890,442 945,221 2,835,664 1,417,832 708,916 354,458 177,229 531,688 265,844 132,922 66,461 199,384 99,692 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2

More profiles

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