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Atlas › Integer Profiles › Node 7,442,010

7,442,010

2 × 33 × 5 × 43 × 641
Abundant Even Composite

7,442,010 factors as 2 × 3^3 × 5 × 43 × 641. Its 64 positive divisors give a proper-divisor sum of 12,896,550, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 43 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,338,560
Proper Divisor Sum 12,896,550
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7441999 ← → #7442023

Radix Representation

Decimal 7442010
Binary 11100011000111001011010 (23 bits)
Octal 0o34307132
Hexadecimal 0x718E5A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 641 645 774 1,161 1,282 1,290 1,923 1,935 2,322 3,205 3,846 3,870 5,769 5,805 6,410 9,615 11,538 11,610 17,307 19,230 27,563 28,845 34,614 55,126 57,690 82,689 86,535 137,815 165,378 173,070 248,067 275,630 413,445 496,134 744,201 826,890 1,240,335

Collatz Trajectory (160 steps to reach 1)

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

7,442,010 3,721,005 11,163,016 5,581,508 2,790,754 1,395,377 4,186,132 2,093,066 1,046,533 3,139,600 1,569,800 784,900 392,450 196,225 588,676 294,338 147,169 441,508 220,754 110,377 331,132 165,566 82,783 248,350 124,175 372,526 186,263 558,790 279,395 838,186 419,093 1,257,280 628,640 314,320 157,160 78,580 39,290 19,645 58,936 29,468 14,734 7,367 22,102 11,051 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870

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