λ
Sigma Notebook

2,998,400

27 × 52 × 937
Abundant Even Composite

2,998,400 is even and not a perfect square. Its factorization is 2^7 × 5^2 × 937 and its 48 divisors sum to 7,414,890.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 937
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,414,890
Proper Divisor Sum 4,416,490
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2998399 ← → #2998403

Radix Representation

Decimal 2998400
Binary 1011011100000010000000 (22 bits)
Octal 0o13340200
Hexadecimal 0x2DC080

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 937 1,600 1,874 3,200 3,748 4,685 7,496 9,370 14,992 18,740 23,425 29,984 37,480 46,850 59,968 74,960 93,700 119,936 149,920 187,400 299,840 374,800 599,680 749,600 1,499,200 2,998,400

Collatz Trajectory (182 steps to reach 1)

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

2,998,400 1,499,200 749,600 374,800 187,400 93,700 46,850 23,425 70,276 35,138 17,569 52,708 26,354 13,177 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530

More profiles

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