λ
Harmonic Matrix

2,023,478

2 × 227 × 4457
Deficient Even Composite

2,023,478 has digital root 8. The neighboring primes are 2023453 and 2023501; its proper-divisor sum differs from the starting integer by -997,684.

Prime Factor Structure

Factorization String 2 × 227 × 4457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,049,272
Proper Divisor Sum 1,025,794
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2023453 ← → #2023501

Radix Representation

Decimal 2023478
Binary 111101110000000110110 (21 bits)
Octal 0o7560066
Hexadecimal 0x1EE036

Divisor Catalog (8)

1 2 227 454 4,457 8,914 1,011,739 2,023,478

Collatz Trajectory (109 steps to reach 1)

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

2,023,478 1,011,739 3,035,218 1,517,609 4,552,828 2,276,414 1,138,207 3,414,622 1,707,311 5,121,934 2,560,967 7,682,902 3,841,451 11,524,354 5,762,177 17,286,532 8,643,266 4,321,633 12,964,900 6,482,450 3,241,225 9,723,676 4,861,838 2,430,919 7,292,758 3,646,379 10,939,138 5,469,569 16,408,708 8,204,354 4,102,177 12,306,532 6,153,266 3,076,633 9,229,900 4,614,950 2,307,475 6,922,426 3,461,213 10,383,640 5,191,820 2,595,910 1,297,955 3,893,866 1,946,933 5,840,800 2,920,400 1,460,200 730,100 365,050 182,525 547,576 273,788 136,894 68,447 205,342 102,671 308,014 154,007 462,022

More profiles

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