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Atlas › Integer Profiles › Node 2,033,824

2,033,824

25 × 13 × 4889
Abundant Even Composite

2,033,824 factors as 2^5 × 13 × 4889. Its 24 positive divisors give a proper-divisor sum of 2,279,156, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 4889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,312,980
Proper Divisor Sum 2,279,156
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2033807 ← → #2033833

Radix Representation

Decimal 2033824
Binary 111110000100010100000 (21 bits)
Octal 0o7604240
Hexadecimal 0x1F08A0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 4,889 9,778 19,556 39,112 63,557 78,224 127,114 156,448 254,228 508,456 1,016,912 2,033,824

Collatz Trajectory (60 steps to reach 1)

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

2,033,824 1,016,912 508,456 254,228 127,114 63,557 190,672 95,336 47,668 23,834 11,917 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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