λ
Sigma Notebook

3,468,195

32 × 5 × 37 × 2083
Deficient Odd Composite

3,468,195 is odd and not a perfect square. Its factorization is 3^2 × 5 × 37 × 2083 and its 24 divisors sum to 6,176,976.

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,176,976
Proper Divisor Sum 2,708,781
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3468169 ← → #3468209

Radix Representation

Decimal 3468195
Binary 1101001110101110100011 (22 bits)
Octal 0o15165643
Hexadecimal 0x34EBA3

Divisor Catalog (24)

1 3 5 9 15 37 45 111 185 333 555 1,665 2,083 6,249 10,415 18,747 31,245 77,071 93,735 231,213 385,355 693,639 1,156,065 3,468,195

Collatz Trajectory (159 steps to reach 1)

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

3,468,195 10,404,586 5,202,293 15,606,880 7,803,440 3,901,720 1,950,860 975,430 487,715 1,463,146 731,573 2,194,720 1,097,360 548,680 274,340 137,170 68,585 205,756 102,878 51,439 154,318 77,159 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836 703,918 351,959 1,055,878 527,939 1,583,818 791,909

More profiles

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