λ
Harmonic Matrix

7,540,730

2 × 5 × 754073
Deficient Even Composite

7,540,730 has digital root 8. The neighboring primes are 7540721 and 7540751; its proper-divisor sum differs from the starting integer by -1,508,128.

Prime Factor Structure

Factorization String 2 × 5 × 754073
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,573,332
Proper Divisor Sum 6,032,602
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7540721 ← → #7540751

Radix Representation

Decimal 7540730
Binary 11100110000111111111010 (23 bits)
Octal 0o34607772
Hexadecimal 0x730FFA

Divisor Catalog (8)

1 2 5 10 754,073 1,508,146 3,770,365 7,540,730

Collatz Trajectory (204 steps to reach 1)

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

7,540,730 3,770,365 11,311,096 5,655,548 2,827,774 1,413,887 4,241,662 2,120,831 6,362,494 3,181,247 9,543,742 4,771,871 14,315,614 7,157,807 21,473,422 10,736,711 32,210,134 16,105,067 48,315,202 24,157,601 72,472,804 36,236,402 18,118,201 54,354,604 27,177,302 13,588,651 40,765,954 20,382,977 61,148,932 30,574,466 15,287,233 45,861,700 22,930,850 11,465,425 34,396,276 17,198,138 8,599,069 25,797,208 12,898,604 6,449,302 3,224,651 9,673,954 4,836,977 14,510,932 7,255,466 3,627,733 10,883,200 5,441,600 2,720,800 1,360,400 680,200 340,100 170,050 85,025 255,076 127,538 63,769 191,308 95,654 47,827

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