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Atlas › Integer Profiles › Node 2,610,100

2,610,100

22 × 52 × 43 × 607
Abundant Even Composite

2,610,100 factors as 2^2 × 5^2 × 43 × 607. Its 36 positive divisors give a proper-divisor sum of 3,195,084, so this integer is abundant. The Collatz stopping time is 42 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 43 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,805,184
Proper Divisor Sum 3,195,084
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #2610089 ← → #2610121

Radix Representation

Decimal 2610100
Binary 1001111101001110110100 (22 bits)
Octal 0o11751664
Hexadecimal 0x27D3B4

Divisor Catalog (36)

1 2 4 5 10 20 25 43 50 86 100 172 215 430 607 860 1,075 1,214 2,150 2,428 3,035 4,300 6,070 12,140 15,175 26,101 30,350 52,202 60,700 104,404 130,505 261,010 522,020 652,525 1,305,050 2,610,100

Collatz Trajectory (42 steps to reach 1)

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

2,610,100 1,305,050 652,525 1,957,576 978,788 489,394 244,697 734,092 367,046 183,523 550,570 275,285 825,856 412,928 206,464 103,232 51,616 25,808 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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