5,506,929

3² × 17 × 35993

5,506,929 factors as 3^2 × 17 × 35993. Its 12 positive divisors give a proper-divisor sum of 2,915,667, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 35993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,422,596

Proper Divisor Sum 2,915,667

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5506909 ← → #5506937

Radix Representation

Decimal	5506929
Binary	10101000000011101110001 (23 bits)
Octal	0o25003561
Hexadecimal	0x540771

Divisor Catalog (12)

1 3 9 17 51 153 35,993 107,979 323,937 611,881 1,835,643 5,506,929

Collatz Trajectory (108 steps to reach 1)

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

5,506,929 16,520,788 8,260,394 4,130,197 12,390,592 6,195,296 3,097,648 1,548,824 774,412 387,206 193,603 580,810 290,405 871,216 435,608 217,804 108,902 54,451 163,354 81,677 245,032 122,516 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825

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