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Atlas › Integer Profiles › Node 7,054,600

7,054,600

23 × 52 × 7 × 5039
Abundant Even Composite

7,054,600 factors as 2^3 × 5^2 × 7 × 5039. Its 48 positive divisors give a proper-divisor sum of 11,694,200, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 5039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,748,800
Proper Divisor Sum 11,694,200
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7054591 ← → #7054601

Radix Representation

Decimal 7054600
Binary 11010111010010100001000 (23 bits)
Octal 0o32722410
Hexadecimal 0x6BA508

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 5,039 10,078 20,156 25,195 35,273 40,312 50,390 70,546 100,780 125,975 141,092 176,365 201,560 251,950 282,184 352,730 503,900 705,460 881,825 1,007,800 1,410,920 1,763,650 3,527,300 7,054,600

Collatz Trajectory (129 steps to reach 1)

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

7,054,600 3,527,300 1,763,650 881,825 2,645,476 1,322,738 661,369 1,984,108 992,054 496,027 1,488,082 744,041 2,232,124 1,116,062 558,031 1,674,094 837,047 2,511,142 1,255,571 3,766,714 1,883,357 5,650,072 2,825,036 1,412,518 706,259 2,118,778 1,059,389 3,178,168 1,589,084 794,542 397,271 1,191,814 595,907 1,787,722 893,861 2,681,584 1,340,792 670,396 335,198 167,599 502,798 251,399 754,198 377,099 1,131,298 565,649 1,696,948 848,474 424,237 1,272,712 636,356 318,178 159,089 477,268 238,634 119,317 357,952 178,976 89,488 44,744

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