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Atlas › Integer Profiles › Node 2,148,538

2,148,538

2 × 7 × 432 × 83
Deficient Even Composite

2,148,538 factors as 2 × 7 × 43^2 × 83. Its 24 positive divisors give a proper-divisor sum of 1,667,750, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 7 × 43^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,816,288
Proper Divisor Sum 1,667,750
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2148533 ← → #2148547

Radix Representation

Decimal 2148538
Binary 1000001100100010111010 (22 bits)
Octal 0o10144272
Hexadecimal 0x20C8BA

Divisor Catalog (24)

1 2 7 14 43 83 86 166 301 581 602 1,162 1,849 3,569 3,698 7,138 12,943 24,983 25,886 49,966 153,467 306,934 1,074,269 2,148,538

Collatz Trajectory (73 steps to reach 1)

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

2,148,538 1,074,269 3,222,808 1,611,404 805,702 402,851 1,208,554 604,277 1,812,832 906,416 453,208 226,604 113,302 56,651 169,954 84,977 254,932 127,466 63,733 191,200 95,600 47,800 23,900 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11

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