8,513,726

2 × 13 × 23² × 619

8,513,726 is even and not a perfect square. Its factorization is 2 × 13 × 23^2 × 619 and its 24 divisors sum to 14,400,120.

Prime Factor Structure

Factorization String 2 × 13 × 23^2 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,400,120

Proper Divisor Sum 5,886,394

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8513693 ← → #8513731

Radix Representation

Decimal	8513726
Binary	100000011110100010111110 (24 bits)
Octal	0o40364276
Hexadecimal	0x81E8BE

Divisor Catalog (24)

1 2 13 23 26 46 299 529 598 619 1,058 1,238 6,877 8,047 13,754 14,237 16,094 28,474 185,081 327,451 370,162 654,902 4,256,863 8,513,726

Collatz Trajectory (199 steps to reach 1)

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

8,513,726 4,256,863 12,770,590 6,385,295 19,155,886 9,577,943 28,733,830 14,366,915 43,100,746 21,550,373 64,651,120 32,325,560 16,162,780 8,081,390 4,040,695 12,122,086 6,061,043 18,183,130 9,091,565 27,274,696 13,637,348 6,818,674 3,409,337 10,228,012 5,114,006 2,557,003 7,671,010 3,835,505 11,506,516 5,753,258 2,876,629 8,629,888 4,314,944 2,157,472 1,078,736 539,368 269,684 134,842 67,421 202,264 101,132 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001

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