λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,495,366

3,495,366

2 × 33 × 72 × 1321
Abundant Even Composite

3,495,366 factors as 2 × 3^3 × 7^2 × 1321. Its 48 positive divisors give a proper-divisor sum of 5,547,114, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,042,480
Proper Divisor Sum 5,547,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3495301 ← → #3495397

Radix Representation

Decimal 3495366
Binary 1101010101010111000110 (22 bits)
Octal 0o15252706
Hexadecimal 0x3555C6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1,321 1,323 2,642 2,646 3,963 7,926 9,247 11,889 18,494 23,778 27,741 35,667 55,482 64,729 71,334 83,223 129,458 166,446 194,187 249,669 388,374 499,338 582,561 1,165,122 1,747,683 3,495,366

Collatz Trajectory (190 steps to reach 1)

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

3,495,366 1,747,683 5,243,050 2,621,525 7,864,576 3,932,288 1,966,144 983,072 491,536 245,768 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,495,365 Browse Full Index Next Integer #3,495,367 →