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Atlas › Integer Profiles › Node 2,120,932

2,120,932

22 × 11 × 19 × 43 × 59
Abundant Even Composite

2,120,932 factors as 2^2 × 11 × 19 × 43 × 59. Its 48 positive divisors give a proper-divisor sum of 2,314,268, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 43 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,435,200
Proper Divisor Sum 2,314,268
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2120917 ← → #2120933

Radix Representation

Decimal 2120932
Binary 1000000101110011100100 (22 bits)
Octal 0o10056344
Hexadecimal 0x205CE4

Divisor Catalog (48)

1 2 4 11 19 22 38 43 44 59 76 86 118 172 209 236 418 473 649 817 836 946 1,121 1,298 1,634 1,892 2,242 2,537 2,596 3,268 4,484 5,074 8,987 10,148 12,331 17,974 24,662 27,907 35,948 48,203 49,324 55,814 96,406 111,628 192,812 530,233 1,060,466 2,120,932

Collatz Trajectory (104 steps to reach 1)

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

2,120,932 1,060,466 530,233 1,590,700 795,350 397,675 1,193,026 596,513 1,789,540 894,770 447,385 1,342,156 671,078 335,539 1,006,618 503,309 1,509,928 754,964 377,482 188,741 566,224 283,112 141,556 70,778 35,389 106,168 53,084 26,542 13,271 39,814 19,907 59,722 29,861 89,584 44,792 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456

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