λ
Sigma Notebook

6,846,998

2 × 37 × 67 × 1381
Deficient Even Composite

6,846,998 is even and not a perfect square. Its factorization is 2 × 37 × 67 × 1381 and its 16 divisors sum to 10,713,264.

Prime Factor Structure

Factorization String 2 × 37 × 67 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,713,264
Proper Divisor Sum 3,866,266
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #6846991 ← → #6847003

Radix Representation

Decimal 6846998
Binary 11010000111101000010110 (23 bits)
Octal 0o32075026
Hexadecimal 0x687A16

Divisor Catalog (16)

1 2 37 67 74 134 1,381 2,479 2,762 4,958 51,097 92,527 102,194 185,054 3,423,499 6,846,998

Collatz Trajectory (222 steps to reach 1)

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

6,846,998 3,423,499 10,270,498 5,135,249 15,405,748 7,702,874 3,851,437 11,554,312 5,777,156 2,888,578 1,444,289 4,332,868 2,166,434 1,083,217 3,249,652 1,624,826 812,413 2,437,240 1,218,620 609,310 304,655 913,966 456,983 1,370,950 685,475 2,056,426 1,028,213 3,084,640 1,542,320 771,160 385,580 192,790 96,395 289,186 144,593 433,780 216,890 108,445 325,336 162,668 81,334 40,667 122,002 61,001 183,004 91,502 45,751 137,254 68,627 205,882 102,941 308,824 154,412 77,206 38,603 115,810 57,905 173,716 86,858 43,429

More profiles

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