λ
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2,270,180

22 × 5 × 11 × 17 × 607
Abundant Even Composite

2,270,180 factors as 2^2 × 5 × 11 × 17 × 607. Its 48 positive divisors give a proper-divisor sum of 3,245,596, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 17 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,515,776
Proper Divisor Sum 3,245,596
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2270179 ← → #2270183

Radix Representation

Decimal 2270180
Binary 1000101010001111100100 (22 bits)
Octal 0o10521744
Hexadecimal 0x22A3E4

Divisor Catalog (48)

1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 607 748 935 1,214 1,870 2,428 3,035 3,740 6,070 6,677 10,319 12,140 13,354 20,638 26,708 33,385 41,276 51,595 66,770 103,190 113,509 133,540 206,380 227,018 454,036 567,545 1,135,090 2,270,180

Collatz Trajectory (117 steps to reach 1)

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

2,270,180 1,135,090 567,545 1,702,636 851,318 425,659 1,276,978 638,489 1,915,468 957,734 478,867 1,436,602 718,301 2,154,904 1,077,452 538,726 269,363 808,090 404,045 1,212,136 606,068 303,034 151,517 454,552 227,276 113,638 56,819 170,458 85,229 255,688 127,844 63,922 31,961 95,884 47,942 23,971 71,914 35,957 107,872 53,936 26,968 13,484 6,742 3,371 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402

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