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Atlas › Integer Profiles › Node 2,528,080

2,528,080

24 × 5 × 31601
Abundant Even Composite

2,528,080 factors as 2^4 × 5 × 31601. Its 20 positive divisors give a proper-divisor sum of 3,349,892, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31601
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,877,972
Proper Divisor Sum 3,349,892
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2528077 ← → #2528129

Radix Representation

Decimal 2528080
Binary 1001101001001101010000 (22 bits)
Octal 0o11511520
Hexadecimal 0x269350

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 31,601 63,202 126,404 158,005 252,808 316,010 505,616 632,020 1,264,040 2,528,080

Collatz Trajectory (143 steps to reach 1)

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

2,528,080 1,264,040 632,020 316,010 158,005 474,016 237,008 118,504 59,252 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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