2,253,758

2 × 13 × 17 × 5099

Starting at 2,253,758, the Collatz iteration reaches 1 after 254 steps. The first transition is 1126879; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 5099

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,855,600

Proper Divisor Sum 1,601,842

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2253749 ← → #2253763

Radix Representation

Decimal	2253758
Binary	1000100110001110111110 (22 bits)
Octal	0o10461676
Hexadecimal	0x2263BE

Divisor Catalog (16)

1 2 13 17 26 34 221 442 5,099 10,198 66,287 86,683 132,574 173,366 1,126,879 2,253,758

Collatz Trajectory (254 steps to reach 1)

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

2,253,758 1,126,879 3,380,638 1,690,319 5,070,958 2,535,479 7,606,438 3,803,219 11,409,658 5,704,829 17,114,488 8,557,244 4,278,622 2,139,311 6,417,934 3,208,967 9,626,902 4,813,451 14,440,354 7,220,177 21,660,532 10,830,266 5,415,133 16,245,400 8,122,700 4,061,350 2,030,675 6,092,026 3,046,013 9,138,040 4,569,020 2,284,510 1,142,255 3,426,766 1,713,383 5,140,150 2,570,075 7,710,226 3,855,113 11,565,340 5,782,670 2,891,335 8,674,006 4,337,003 13,011,010 6,505,505 19,516,516 9,758,258 4,879,129 14,637,388 7,318,694 3,659,347 10,978,042 5,489,021 16,467,064 8,233,532 4,116,766 2,058,383 6,175,150 3,087,575

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