8,064,567

3² × 7² × 18287

Starting at 8,064,567, the Collatz iteration reaches 1 after 217 steps. The first transition is 24193702; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 18287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,551,408

Proper Divisor Sum 5,486,841

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8064527 ← → #8064571

Radix Representation

Decimal	8064567
Binary	11110110000111000110111 (23 bits)
Octal	0o36607067
Hexadecimal	0x7B0E37

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 18,287 54,861 128,009 164,583 384,027 896,063 1,152,081 2,688,189 8,064,567

Collatz Trajectory (217 steps to reach 1)

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

8,064,567 24,193,702 12,096,851 36,290,554 18,145,277 54,435,832 27,217,916 13,608,958 6,804,479 20,413,438 10,206,719 30,620,158 15,310,079 45,930,238 22,965,119 68,895,358 34,447,679 103,343,038 51,671,519 155,014,558 77,507,279 232,521,838 116,260,919 348,782,758 174,391,379 523,174,138 261,587,069 784,761,208 392,380,604 196,190,302 98,095,151 294,285,454 147,142,727 441,428,182 220,714,091 662,142,274 331,071,137 993,213,412 496,606,706 248,303,353 744,910,060 372,455,030 186,227,515 558,682,546 279,341,273 838,023,820 419,011,910 209,505,955 628,517,866 314,258,933 942,776,800 471,388,400 235,694,200 117,847,100 58,923,550 29,461,775 88,385,326 44,192,663 132,577,990 66,288,995

← Previous Integer #8,064,566 Browse Full Index Next Integer #8,064,568 →