5,293,624

2³ × 7 × 94529

5,293,624 factors as 2^3 × 7 × 94529. Its 16 positive divisors give a proper-divisor sum of 6,049,976, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 94529

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,343,600

Proper Divisor Sum 6,049,976

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5293621 ← → #5293637

Radix Representation

Decimal	5293624
Binary	10100001100011000111000 (23 bits)
Octal	0o24143070
Hexadecimal	0x50C638

Divisor Catalog (16)

1 2 4 7 8 14 28 56 94,529 189,058 378,116 661,703 756,232 1,323,406 2,646,812 5,293,624

Collatz Trajectory (126 steps to reach 1)

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

5,293,624 2,646,812 1,323,406 661,703 1,985,110 992,555 2,977,666 1,488,833 4,466,500 2,233,250 1,116,625 3,349,876 1,674,938 837,469 2,512,408 1,256,204 628,102 314,051 942,154 471,077 1,413,232 706,616 353,308 176,654 88,327 264,982 132,491 397,474 198,737 596,212 298,106 149,053 447,160 223,580 111,790 55,895 167,686 83,843 251,530 125,765 377,296 188,648 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 3,731 11,194 5,597

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