λ
Prime Ledger

3,091,404

22 × 3 × 73 × 3529
Abundant Even Composite

3,091,404 has the prime decomposition 2^2 × 3 × 73 × 3529. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,314,160
Proper Divisor Sum 4,222,756
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3091397 ← → #3091409

Radix Representation

Decimal 3091404
Binary 1011110010101111001100 (22 bits)
Octal 0o13625714
Hexadecimal 0x2F2BCC

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 292 438 876 3,529 7,058 10,587 14,116 21,174 42,348 257,617 515,234 772,851 1,030,468 1,545,702 3,091,404

Collatz Trajectory (102 steps to reach 1)

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

3,091,404 1,545,702 772,851 2,318,554 1,159,277 3,477,832 1,738,916 869,458 434,729 1,304,188 652,094 326,047 978,142 489,071 1,467,214 733,607 2,200,822 1,100,411 3,301,234 1,650,617 4,951,852 2,475,926 1,237,963 3,713,890 1,856,945 5,570,836 2,785,418 1,392,709 4,178,128 2,089,064 1,044,532 522,266 261,133 783,400 391,700 195,850 97,925 293,776 146,888 73,444 36,722 18,361 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269

More profiles

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