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7,007,652

22 × 32 × 37 × 5261
Abundant Even Composite

7,007,652 factors as 2^2 × 3^2 × 37 × 5261. Its 36 positive divisors give a proper-divisor sum of 11,188,344, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 5261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,195,996
Proper Divisor Sum 11,188,344
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7007633 ← → #7007729

Radix Representation

Decimal 7007652
Binary 11010101110110110100100 (23 bits)
Octal 0o32566644
Hexadecimal 0x6AEDA4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1,332 5,261 10,522 15,783 21,044 31,566 47,349 63,132 94,698 189,396 194,657 389,314 583,971 778,628 1,167,942 1,751,913 2,335,884 3,503,826 7,007,652

Collatz Trajectory (222 steps to reach 1)

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

7,007,652 3,503,826 1,751,913 5,255,740 2,627,870 1,313,935 3,941,806 1,970,903 5,912,710 2,956,355 8,869,066 4,434,533 13,303,600 6,651,800 3,325,900 1,662,950 831,475 2,494,426 1,247,213 3,741,640 1,870,820 935,410 467,705 1,403,116 701,558 350,779 1,052,338 526,169 1,578,508 789,254 394,627 1,183,882 591,941 1,775,824 887,912 443,956 221,978 110,989 332,968 166,484 83,242 41,621 124,864 62,432 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411

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