7,058,084

2² × 11 × 47 × 3413

7,058,084 factors as 2^2 × 11 × 47 × 3413. Its 24 positive divisors give a proper-divisor sum of 6,707,164, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 47 × 3413

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,765,248

Proper Divisor Sum 6,707,164

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7058081 ← → #7058089

Radix Representation

Decimal	7058084
Binary	11010111011001010100100 (23 bits)
Octal	0o32731244
Hexadecimal	0x6BB2A4

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,058,084 3,529,042 1,764,521 5,293,564 2,646,782 1,323,391 3,970,174 1,985,087 5,955,262 2,977,631 8,932,894 4,466,447 13,399,342 6,699,671 20,099,014 10,049,507 30,148,522 15,074,261 45,222,784 22,611,392 11,305,696 5,652,848 2,826,424 1,413,212 706,606 353,303 1,059,910 529,955 1,589,866 794,933 2,384,800 1,192,400 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462

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