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Atlas › Integer Profiles › Node 2,441,920

2,441,920

26 × 5 × 13 × 587
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,272,784
Proper Divisor Sum 3,830,864
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2441909 ← → #2441941

Radix Representation

Decimal 2441920
Binary 1001010100001011000000 (22 bits)
Octal 0o11241300
Hexadecimal 0x2542C0

Divisor Catalog (56)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 587 832 1,040 1,174 2,080 2,348 2,935 4,160 4,696 5,870 7,631 9,392 11,740 15,262 18,784 23,480 30,524 37,568 38,155 46,960 61,048 76,310 93,920 122,096 152,620 187,840 244,192 305,240 488,384 610,480 1,220,960 2,441,920

Collatz Trajectory (60 steps to reach 1)

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

2,441,920 1,220,960 610,480 305,240 152,620 76,310 38,155 114,466 57,233 171,700 85,850 42,925 128,776 64,388 32,194 16,097 48,292 24,146 12,073 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2

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