λ
Integer Codex

8,617,523

8617523
Deficient Odd Prime

For 8,617,523, the 2 positive divisors have a total of 8,617,524. Removing 8,617,523 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8617523
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,617,524
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8617519 ← → #8617547

Radix Representation

Decimal 8617523
Binary 100000110111111000110011 (24 bits)
Octal 0o40677063
Hexadecimal 0x837E33

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,617,523 25,852,570 12,926,285 38,778,856 19,389,428 9,694,714 4,847,357 14,542,072 7,271,036 3,635,518 1,817,759 5,453,278 2,726,639 8,179,918 4,089,959 12,269,878 6,134,939 18,404,818 9,202,409 27,607,228 13,803,614 6,901,807 20,705,422 10,352,711 31,058,134 15,529,067 46,587,202 23,293,601 69,880,804 34,940,402 17,470,201 52,410,604 26,205,302 13,102,651 39,307,954 19,653,977 58,961,932 29,480,966 14,740,483 44,221,450 22,110,725 66,332,176 33,166,088 16,583,044 8,291,522 4,145,761 12,437,284 6,218,642 3,109,321 9,327,964 4,663,982 2,331,991 6,995,974 3,497,987 10,493,962 5,246,981 15,740,944 7,870,472 3,935,236 1,967,618

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