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Atlas › Integer Profiles › Node 2,173,120

2,173,120

26 × 5 × 6791
Abundant Even Composite

2,173,120 factors as 2^6 × 5 × 6791. Its 28 positive divisors give a proper-divisor sum of 3,002,384, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 6791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,175,504
Proper Divisor Sum 3,002,384
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2173111 ← → #2173141

Radix Representation

Decimal 2173120
Binary 1000010010100011000000 (22 bits)
Octal 0o10224300
Hexadecimal 0x2128C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 6,791 13,582 27,164 33,955 54,328 67,910 108,656 135,820 217,312 271,640 434,624 543,280 1,086,560 2,173,120

Collatz Trajectory (73 steps to reach 1)

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

2,173,120 1,086,560 543,280 271,640 135,820 67,910 33,955 101,866 50,933 152,800 76,400 38,200 19,100 9,550 4,775 14,326 7,163 21,490 10,745 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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