λ
Harmonic Matrix

2,780,240

24 × 5 × 23 × 1511
Abundant Even Composite

2,780,240 has digital root 5. The neighboring primes are 2780233 and 2780243; its proper-divisor sum differs from the starting integer by 1,189,088.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,749,568
Proper Divisor Sum 3,969,328
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2780233 ← → #2780243

Radix Representation

Decimal 2780240
Binary 1010100110110001010000 (22 bits)
Octal 0o12466120
Hexadecimal 0x2A6C50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,511 1,840 3,022 6,044 7,555 12,088 15,110 24,176 30,220 34,753 60,440 69,506 120,880 139,012 173,765 278,024 347,530 556,048 695,060 1,390,120 2,780,240

Collatz Trajectory (169 steps to reach 1)

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

2,780,240 1,390,120 695,060 347,530 173,765 521,296 260,648 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83

More profiles

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