λ
Sigma Notebook

4,003,278

2 × 3 × 31 × 21523
Abundant Even Composite

4,003,278 is even and not a perfect square. Its factorization is 2 × 3 × 31 × 21523 and its 16 divisors sum to 8,265,216.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 21523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,265,216
Proper Divisor Sum 4,261,938
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4003273 ← → #4003291

Radix Representation

Decimal 4003278
Binary 1111010001010111001110 (22 bits)
Octal 0o17212716
Hexadecimal 0x3D15CE

Divisor Catalog (16)

1 2 3 6 31 62 93 186 21,523 43,046 64,569 129,138 667,213 1,334,426 2,001,639 4,003,278

Collatz Trajectory (97 steps to reach 1)

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

4,003,278 2,001,639 6,004,918 3,002,459 9,007,378 4,503,689 13,511,068 6,755,534 3,377,767 10,133,302 5,066,651 15,199,954 7,599,977 22,799,932 11,399,966 5,699,983 17,099,950 8,549,975 25,649,926 12,824,963 38,474,890 19,237,445 57,712,336 28,856,168 14,428,084 7,214,042 3,607,021 10,821,064 5,410,532 2,705,266 1,352,633 4,057,900 2,028,950 1,014,475 3,043,426 1,521,713 4,565,140 2,282,570 1,141,285 3,423,856 1,711,928 855,964 427,982 213,991 641,974 320,987 962,962 481,481 1,444,444 722,222 361,111 1,083,334 541,667 1,625,002 812,501 2,437,504 1,218,752 609,376 304,688 152,344

More profiles

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