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Atlas › Integer Profiles › Node 4,945,320

4,945,320

23 × 33 × 5 × 19 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 19 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 17,424,000
Proper Divisor Sum 12,478,680
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4945307 ← → #4945327

Radix Representation

Decimal 4945320
Binary 10010110111010110101000 (23 bits)
Octal 0o22672650
Hexadecimal 0x4B75A8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 241 270 285 342 360 380 456 482 513 540 570 684 723 760 855 964 1,026 1,080 1,140 1,205 1,368 1,446

Collatz Trajectory (56 steps to reach 1)

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

4,945,320 2,472,660 1,236,330 618,165 1,854,496 927,248 463,624 231,812 115,906 57,953 173,860 86,930 43,465 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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