5,877,116

2² × 7 × 431 × 487

5,877,116 factors as 2^2 × 7 × 431 × 487. Its 24 positive divisors give a proper-divisor sum of 5,928,580, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 431 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,805,696

Proper Divisor Sum 5,928,580

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5877103 ← → #5877127

Radix Representation

Decimal	5877116
Binary	10110011010110101111100 (23 bits)
Octal	0o26326574
Hexadecimal	0x59AD7C

Divisor Catalog (24)

Collatz Trajectory (152 steps to reach 1)

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

5,877,116 2,938,558 1,469,279 4,407,838 2,203,919 6,611,758 3,305,879 9,917,638 4,958,819 14,876,458 7,438,229 22,314,688 11,157,344 5,578,672 2,789,336 1,394,668 697,334 348,667 1,046,002 523,001 1,569,004 784,502 392,251 1,176,754 588,377 1,765,132 882,566 441,283 1,323,850 661,925 1,985,776 992,888 496,444 248,222 124,111 372,334 186,167 558,502 279,251 837,754 418,877 1,256,632 628,316 314,158 157,079 471,238 235,619 706,858 353,429 1,060,288 530,144 265,072 132,536 66,268 33,134 16,567 49,702 24,851 74,554 37,277

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