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Atlas › Integer Profiles › Node 3,748,264

3,748,264

23 × 13 × 23 × 1567
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,902,720
Proper Divisor Sum 4,154,456
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3748243 ← → #3748289

Radix Representation

Decimal 3748264
Binary 1110010011000110101000 (22 bits)
Octal 0o16230650
Hexadecimal 0x3931A8

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 1,567 2,392 3,134 6,268 12,536 20,371 36,041 40,742 72,082 81,484 144,164 162,968 288,328 468,533 937,066 1,874,132 3,748,264

Collatz Trajectory (53 steps to reach 1)

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

3,748,264 1,874,132 937,066 468,533 1,405,600 702,800 351,400 175,700 87,850 43,925 131,776 65,888 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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