λ
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Atlas › Integer Profiles › Node 3,670,164

3,670,164

22 × 33 × 17 × 1999
Abundant Even Composite

3,670,164 factors as 2^2 × 3^3 × 17 × 1999. Its 48 positive divisors give a proper-divisor sum of 6,409,836, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,080,000
Proper Divisor Sum 6,409,836
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3670151 ← → #3670169

Radix Representation

Decimal 3670164
Binary 1110000000000010010100 (22 bits)
Octal 0o16000224
Hexadecimal 0x380094

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,836 1,999 3,998 5,997 7,996 11,994 17,991 23,988 33,983 35,982 53,973 67,966 71,964 101,949 107,946 135,932 203,898 215,892 305,847 407,796 611,694 917,541 1,223,388 1,835,082 3,670,164

Collatz Trajectory (110 steps to reach 1)

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

3,670,164 1,835,082 917,541 2,752,624 1,376,312 688,156 344,078 172,039 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

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