λ
Sigma Notebook

2,132,964

22 × 32 × 179 × 331
Abundant Even Composite

2,132,964 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 179 × 331 and its 36 divisors sum to 5,438,160.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 179 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,438,160
Proper Divisor Sum 3,305,196
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2132957 ← → #2132981

Radix Representation

Decimal 2132964
Binary 1000001000101111100100 (22 bits)
Octal 0o10105744
Hexadecimal 0x208BE4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 179 331 358 537 662 716 993 1,074 1,324 1,611 1,986 2,148 2,979 3,222 3,972 5,958 6,444 11,916 59,249 118,498 177,747 236,996 355,494 533,241 710,988 1,066,482 2,132,964

Collatz Trajectory (60 steps to reach 1)

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

2,132,964 1,066,482 533,241 1,599,724 799,862 399,931 1,199,794 599,897 1,799,692 899,846 449,923 1,349,770 674,885 2,024,656 1,012,328 506,164 253,082 126,541 379,624 189,812 94,906 47,453 142,360 71,180 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

More profiles

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