5,293,132

2² × 13 × 137 × 743

5,293,132 factors as 2^2 × 13 × 137 × 743. Its 24 positive divisors give a proper-divisor sum of 4,768,724, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 137 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,061,856

Proper Divisor Sum 4,768,724

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5293129 ← → #5293177

Radix Representation

Decimal	5293132
Binary	10100001100010001001100 (23 bits)
Octal	0o24142114
Hexadecimal	0x50C44C

Divisor Catalog (24)

Collatz Trajectory (126 steps to reach 1)

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

5,293,132 2,646,566 1,323,283 3,969,850 1,984,925 5,954,776 2,977,388 1,488,694 744,347 2,233,042 1,116,521 3,349,564 1,674,782 837,391 2,512,174 1,256,087 3,768,262 1,884,131 5,652,394 2,826,197 8,478,592 4,239,296 2,119,648 1,059,824 529,912 264,956 132,478 66,239 198,718 99,359 298,078 149,039 447,118 223,559 670,678 335,339 1,006,018 503,009 1,509,028 754,514 377,257 1,131,772 565,886 282,943 848,830 424,415 1,273,246 636,623 1,909,870 954,935 2,864,806 1,432,403 4,297,210 2,148,605 6,445,816 3,222,908 1,611,454 805,727 2,417,182 1,208,591

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