1,363,375

5³ × 13 × 839

Starting at 1,363,375, the Collatz iteration reaches 1 after 155 steps. The first transition is 4090126; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 13 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,834,560

Proper Divisor Sum 471,185

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1363367 ← → #1363381

Radix Representation

Decimal	1363375
Binary	101001100110110101111 (21 bits)
Octal	0o5146657
Hexadecimal	0x14CDAF

Divisor Catalog (16)

1 5 13 25 65 125 325 839 1,625 4,195 10,907 20,975 54,535 104,875 272,675 1,363,375

Collatz Trajectory (155 steps to reach 1)

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

1,363,375 4,090,126 2,045,063 6,135,190 3,067,595 9,202,786 4,601,393 13,804,180 6,902,090 3,451,045 10,353,136 5,176,568 2,588,284 1,294,142 647,071 1,941,214 970,607 2,911,822 1,455,911 4,367,734 2,183,867 6,551,602 3,275,801 9,827,404 4,913,702 2,456,851 7,370,554 3,685,277 11,055,832 5,527,916 2,763,958 1,381,979 4,145,938 2,072,969 6,218,908 3,109,454 1,554,727 4,664,182 2,332,091 6,996,274 3,498,137 10,494,412 5,247,206 2,623,603 7,870,810 3,935,405 11,806,216 5,903,108 2,951,554 1,475,777 4,427,332 2,213,666 1,106,833 3,320,500 1,660,250 830,125 2,490,376 1,245,188 622,594 311,297

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