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Atlas › Integer Profiles › Node 2,949,300

2,949,300

22 × 32 × 52 × 29 × 113
Abundant Even Composite

For 2,949,300, the 108 positive divisors have a total of 9,647,820. Removing 2,949,300 leaves 6,698,520, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 29 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 9,647,820
Proper Divisor Sum 6,698,520
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2949283 ← → #2949319

Radix Representation

Decimal 2949300
Binary 1011010000000010110100 (22 bits)
Octal 0o13200264
Hexadecimal 0x2D00B4

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 113 116 145 150 174 180 225 226 261 290 300 339 348 435 450 452 522 565 580 678 725 870 900 1,017 1,044 1,130 1,305 1,356 1,450 1,695 1,740 2,034 2,175 2,260 2,610 2,825

Collatz Trajectory (63 steps to reach 1)

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

2,949,300 1,474,650 737,325 2,211,976 1,105,988 552,994 276,497 829,492 414,746 207,373 622,120 311,060 155,530 77,765 233,296 116,648 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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