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Atlas › Integer Profiles › Node 2,170,296

2,170,296

23 × 32 × 43 × 701
Abundant Even Composite

2,170,296 factors as 2^3 × 3^2 × 43 × 701. Its 48 positive divisors give a proper-divisor sum of 3,852,864, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 43 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,023,160
Proper Divisor Sum 3,852,864
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2170291 ← → #2170307

Radix Representation

Decimal 2170296
Binary 1000010001110110111000 (22 bits)
Octal 0o10216670
Hexadecimal 0x211DB8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 701 774 1,032 1,402 1,548 2,103 2,804 3,096 4,206 5,608 6,309 8,412 12,618 16,824 25,236 30,143 50,472 60,286 90,429 120,572 180,858 241,144 271,287 361,716 542,574 723,432 1,085,148 2,170,296

Collatz Trajectory (65 steps to reach 1)

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

2,170,296 1,085,148 542,574 271,287 813,862 406,931 1,220,794 610,397 1,831,192 915,596 457,798 228,899 686,698 343,349 1,030,048 515,024 257,512 128,756 64,378 32,189 96,568 48,284 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64

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