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Atlas › Integer Profiles › Node 3,867,968

3,867,968

26 × 13 × 4649
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 13 × 4649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,267,700
Proper Divisor Sum 4,399,732
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #3867961 ← → #3868003

Radix Representation

Decimal 3867968
Binary 1110110000010101000000 (22 bits)
Octal 0o16602500
Hexadecimal 0x3B0540

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 4,649 9,298 18,596 37,192 60,437 74,384 120,874 148,768 241,748 297,536 483,496 966,992 1,933,984 3,867,968

Collatz Trajectory (141 steps to reach 1)

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

3,867,968 1,933,984 966,992 483,496 241,748 120,874 60,437 181,312 90,656 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700

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