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Atlas › Integer Profiles › Node 3,259,152

3,259,152

24 × 32 × 13 × 1741
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,828,364
Proper Divisor Sum 6,569,212
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3259117 ← → #3259177

Radix Representation

Decimal 3259152
Binary 1100011011101100010000 (22 bits)
Octal 0o14335420
Hexadecimal 0x31BB10

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,741 1,872 3,482 5,223 6,964 10,446 13,928 15,669 20,892 22,633 27,856 31,338 41,784 45,266 62,676 67,899 83,568 90,532 125,352 135,798 181,064 203,697 250,704 271,596 362,128 407,394 543,192 814,788 1,086,384 1,629,576 3,259,152

Collatz Trajectory (146 steps to reach 1)

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

3,259,152 1,629,576 814,788 407,394 203,697 611,092 305,546 152,773 458,320 229,160 114,580 57,290 28,645 85,936 42,968 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686

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