8,513,727

3 × 2837909

For 8,513,727, the 4 positive divisors have a total of 11,351,640. Removing 8,513,727 leaves 2,837,913, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2837909

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,351,640

Proper Divisor Sum 2,837,913

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8513693 ← → #8513731

Radix Representation

Decimal	8513727
Binary	100000011110100010111111 (24 bits)
Octal	0o40364277
Hexadecimal	0x81E8BF

Divisor Catalog (4)

1 3 2,837,909 8,513,727

Collatz Trajectory (199 steps to reach 1)

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

8,513,727 25,541,182 12,770,591 38,311,774 19,155,887 57,467,662 28,733,831 86,201,494 43,100,747 129,302,242 64,651,121 193,953,364 96,976,682 48,488,341 145,465,024 72,732,512 36,366,256 18,183,128 9,091,564 4,545,782 2,272,891 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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