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Atlas › Integer Profiles › Node 2,937,080

2,937,080

23 × 5 × 101 × 727
Abundant Even Composite

2,937,080 factors as 2^3 × 5 × 101 × 727. Its 32 positive divisors give a proper-divisor sum of 3,745,960, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 101 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,683,040
Proper Divisor Sum 3,745,960
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2937059 ← → #2937083

Radix Representation

Decimal 2937080
Binary 1011001101000011111000 (22 bits)
Octal 0o13150370
Hexadecimal 0x2CD0F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 101 202 404 505 727 808 1,010 1,454 2,020 2,908 3,635 4,040 5,816 7,270 14,540 29,080 73,427 146,854 293,708 367,135 587,416 734,270 1,468,540 2,937,080

Collatz Trajectory (195 steps to reach 1)

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

2,937,080 1,468,540 734,270 367,135 1,101,406 550,703 1,652,110 826,055 2,478,166 1,239,083 3,717,250 1,858,625 5,575,876 2,787,938 1,393,969 4,181,908 2,090,954 1,045,477 3,136,432 1,568,216 784,108 392,054 196,027 588,082 294,041 882,124 441,062 220,531 661,594 330,797 992,392 496,196 248,098 124,049 372,148 186,074 93,037 279,112 139,556 69,778 34,889 104,668 52,334 26,167 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779

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