λ
Sigma Notebook

2,539,040

25 × 5 × 7 × 2267
Abundant Even Composite

2,539,040 is even and not a perfect square. Its factorization is 2^5 × 5 × 7 × 2267 and its 48 divisors sum to 6,858,432.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,858,432
Proper Divisor Sum 4,319,392
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2538983 ← → #2539049

Radix Representation

Decimal 2539040
Binary 1001101011111000100000 (22 bits)
Octal 0o11537040
Hexadecimal 0x26BE20

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 2,267 4,534 9,068 11,335 15,869 18,136 22,670 31,738 36,272 45,340 63,476 72,544 79,345 90,680 126,952 158,690 181,360 253,904 317,380 362,720 507,808 634,760 1,269,520 2,539,040

Collatz Trajectory (55 steps to reach 1)

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

2,539,040 1,269,520 634,760 317,380 158,690 79,345 238,036 119,018 59,509 178,528 89,264 44,632 22,316 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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