4,095,045

3² × 5 × 17 × 53 × 101

Starting at 4,095,045, the Collatz iteration reaches 1 after 198 steps. The first transition is 12285136; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 53 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,733,232

Proper Divisor Sum 3,638,187

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4095043 ← → #4095053

Radix Representation

Decimal	4095045
Binary	1111100111110001000101 (22 bits)
Octal	0o17476105
Hexadecimal	0x3E7C45

Divisor Catalog (48)

1 3 5 9 15 17 45 51 53 85 101 153 159 255 265 303 477 505 765 795 901 909 1,515 1,717 2,385 2,703 4,505 4,545 5,151 5,353 8,109 8,585 13,515 15,453 16,059 25,755 26,765 40,545 48,177 77,265 80,295 91,001 240,885 273,003 455,005 819,009 1,365,015 4,095,045

Collatz Trajectory (198 steps to reach 1)

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

4,095,045 12,285,136 6,142,568 3,071,284 1,535,642 767,821 2,303,464 1,151,732 575,866 287,933 863,800 431,900 215,950 107,975 323,926 161,963 485,890 242,945 728,836 364,418 182,209 546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

← Previous Integer #4,095,044 Browse Full Index Next Integer #4,095,046 →