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Atlas › Integer Profiles › Node 2,247,336

2,247,336

23 × 32 × 74 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^4 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 7,646,730
Proper Divisor Sum 5,399,394
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2247293 ← → #2247337

Radix Representation

Decimal 2247336
Binary 1000100100101010101000 (22 bits)
Octal 0o10445250
Hexadecimal 0x224AA8

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 343 364 392 441 468 504 546 588 637 686 728 819 882 936 1,029 1,092 1,176 1,274 1,372

Collatz Trajectory (148 steps to reach 1)

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

2,247,336 1,123,668 561,834 280,917 842,752 421,376 210,688 105,344 52,672 26,336 13,168 6,584 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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