λ
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Atlas › Integer Profiles › Node 7,052,346

7,052,346

2 × 36 × 7 × 691
Abundant Even Composite

7,052,346 factors as 2 × 3^6 × 7 × 691. Its 56 positive divisors give a proper-divisor sum of 11,100,198, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 7 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,152,544
Proper Divisor Sum 11,100,198
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7052341 ← → #7052351

Radix Representation

Decimal 7052346
Binary 11010111001110000111010 (23 bits)
Octal 0o32716072
Hexadecimal 0x6B9C3A

Divisor Catalog (56)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 691 729 1,134 1,382 1,458 1,701 2,073 3,402 4,146 4,837 5,103 6,219 9,674 10,206 12,438 14,511 18,657 29,022 37,314 43,533 55,971 87,066 111,942 130,599 167,913 261,198 335,826 391,797 503,739 783,594 1,007,478 1,175,391 2,350,782 3,526,173 7,052,346

Collatz Trajectory (222 steps to reach 1)

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

7,052,346 3,526,173 10,578,520 5,289,260 2,644,630 1,322,315 3,966,946 1,983,473 5,950,420 2,975,210 1,487,605 4,462,816 2,231,408 1,115,704 557,852 278,926 139,463 418,390 209,195 627,586 313,793 941,380 470,690 235,345 706,036 353,018 176,509 529,528 264,764 132,382 66,191 198,574 99,287 297,862 148,931 446,794 223,397 670,192 335,096 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731

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