4,516,209

3³ × 167267

4,516,209 factors as 3^3 × 167267. Its 8 positive divisors give a proper-divisor sum of 2,174,511, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 167267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,690,720

Proper Divisor Sum 2,174,511

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4516207 ← → #4516217

Radix Representation

Decimal	4516209
Binary	10001001110100101110001 (23 bits)
Octal	0o21164561
Hexadecimal	0x44E971

Divisor Catalog (8)

1 3 9 27 167,267 501,801 1,505,403 4,516,209

Collatz Trajectory (87 steps to reach 1)

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

4,516,209 13,548,628 6,774,314 3,387,157 10,161,472 5,080,736 2,540,368 1,270,184 635,092 317,546 158,773 476,320 238,160 119,080 59,540 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134

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