3,253,275

3² × 5² × 19 × 761

Starting at 3,253,275, the Collatz iteration reaches 1 after 146 steps. The first transition is 9759826; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 19 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,141,720

Proper Divisor Sum 2,888,445

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3253253 ← → #3253297

Radix Representation

Decimal	3253275
Binary	1100011010010000011011 (22 bits)
Octal	0o14322033
Hexadecimal	0x31A41B

Divisor Catalog (36)

1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 761 855 1,425 2,283 3,805 4,275 6,849 11,415 14,459 19,025 34,245 43,377 57,075 72,295 130,131 171,225 216,885 361,475 650,655 1,084,425 3,253,275

Collatz Trajectory (146 steps to reach 1)

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

3,253,275 9,759,826 4,879,913 14,639,740 7,319,870 3,659,935 10,979,806 5,489,903 16,469,710 8,234,855 24,704,566 12,352,283 37,056,850 18,528,425 55,585,276 27,792,638 13,896,319 41,688,958 20,844,479 62,533,438 31,266,719 93,800,158 46,900,079 140,700,238 70,350,119 211,050,358 105,525,179 316,575,538 158,287,769 474,863,308 237,431,654 118,715,827 356,147,482 178,073,741 534,221,224 267,110,612 133,555,306 66,777,653 200,332,960 100,166,480 50,083,240 25,041,620 12,520,810 6,260,405 18,781,216 9,390,608 4,695,304 2,347,652 1,173,826 586,913 1,760,740 880,370 440,185 1,320,556 660,278 330,139 990,418 495,209 1,485,628 742,814

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