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Atlas › Integer Profiles › Node 3,926,004

3,926,004

22 × 3 × 47 × 6961
Abundant Even Composite

3,926,004 factors as 2^2 × 3 × 47 × 6961. Its 24 positive divisors give a proper-divisor sum of 5,430,924, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 6961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,356,928
Proper Divisor Sum 5,430,924
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3925993 ← → #3926017

Radix Representation

Decimal 3926004
Binary 1110111110011111110100 (22 bits)
Octal 0o16763764
Hexadecimal 0x3BE7F4

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 6,961 13,922 20,883 27,844 41,766 83,532 327,167 654,334 981,501 1,308,668 1,963,002 3,926,004

Collatz Trajectory (154 steps to reach 1)

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

3,926,004 1,963,002 981,501 2,944,504 1,472,252 736,126 368,063 1,104,190 552,095 1,656,286 828,143 2,484,430 1,242,215 3,726,646 1,863,323 5,589,970 2,794,985 8,384,956 4,192,478 2,096,239 6,288,718 3,144,359 9,433,078 4,716,539 14,149,618 7,074,809 21,224,428 10,612,214 5,306,107 15,918,322 7,959,161 23,877,484 11,938,742 5,969,371 17,908,114 8,954,057 26,862,172 13,431,086 6,715,543 20,146,630 10,073,315 30,219,946 15,109,973 45,329,920 22,664,960 11,332,480 5,666,240 2,833,120 1,416,560 708,280 354,140 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404

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