λ
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2,170,290

2 × 3 × 5 × 73 × 991
Abundant Even Composite

2,170,290 factors as 2 × 3 × 5 × 73 × 991. Its 32 positive divisors give a proper-divisor sum of 3,115,086, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 73 × 991
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,285,376
Proper Divisor Sum 3,115,086
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2170283 ← → #2170291

Radix Representation

Decimal 2170290
Binary 1000010001110110110010 (22 bits)
Octal 0o10216662
Hexadecimal 0x211DB2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 73 146 219 365 438 730 991 1,095 1,982 2,190 2,973 4,955 5,946 9,910 14,865 29,730 72,343 144,686 217,029 361,715 434,058 723,430 1,085,145 2,170,290

Collatz Trajectory (65 steps to reach 1)

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

2,170,290 1,085,145 3,255,436 1,627,718 813,859 2,441,578 1,220,789 3,662,368 1,831,184 915,592 457,796 228,898 114,449 343,348 171,674 85,837 257,512 128,756 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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