λ
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Atlas › Integer Profiles › Node 7,003,570

7,003,570

2 × 5 × 72 × 14293
Abundant Even Composite

7,003,570 factors as 2 × 5 × 7^2 × 14293. Its 24 positive divisors give a proper-divisor sum of 7,662,074, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 14293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,665,644
Proper Divisor Sum 7,662,074
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7003561 ← → #7003573

Radix Representation

Decimal 7003570
Binary 11010101101110110110010 (23 bits)
Octal 0o32556662
Hexadecimal 0x6ADDB2

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 14,293 28,586 71,465 100,051 142,930 200,102 500,255 700,357 1,000,510 1,400,714 3,501,785 7,003,570

Collatz Trajectory (129 steps to reach 1)

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

7,003,570 3,501,785 10,505,356 5,252,678 2,626,339 7,879,018 3,939,509 11,818,528 5,909,264 2,954,632 1,477,316 738,658 369,329 1,107,988 553,994 276,997 830,992 415,496 207,748 103,874 51,937 155,812 77,906 38,953 116,860 58,430 29,215 87,646 43,823 131,470 65,735 197,206 98,603 295,810 147,905 443,716 221,858 110,929 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462 59,231 177,694 88,847 266,542

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