1,268,915

5 × 19³ × 37

Starting at 1,268,915, the Collatz iteration reaches 1 after 173 steps. The first transition is 3806746; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 19^3 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,650,720

Proper Divisor Sum 381,805

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1268899 ← → #1268921

Radix Representation

Decimal	1268915
Binary	100110101110010110011 (21 bits)
Octal	0o4656263
Hexadecimal	0x135CB3

Divisor Catalog (16)

1 5 19 37 95 185 361 703 1,805 3,515 6,859 13,357 34,295 66,785 253,783 1,268,915

Collatz Trajectory (173 steps to reach 1)

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

1,268,915 3,806,746 1,903,373 5,710,120 2,855,060 1,427,530 713,765 2,141,296 1,070,648 535,324 267,662 133,831 401,494 200,747 602,242 301,121 903,364 451,682 225,841 677,524 338,762 169,381 508,144 254,072 127,036 63,518 31,759 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348

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