694,018

2 × 13 × 26693

Starting at 694,018, the Collatz iteration reaches 1 after 198 steps. The first transition is 347009; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 26693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,121,148

Proper Divisor Sum 427,130

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #693989 ← → #694019

Radix Representation

Decimal	694018
Binary	10101001011100000010 (20 bits)
Octal	0o2513402
Hexadecimal	0xA9702

Divisor Catalog (8)

1 2 13 26 26,693 53,386 347,009 694,018

Collatz Trajectory (198 steps to reach 1)

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

694,018 347,009 1,041,028 520,514 260,257 780,772 390,386 195,193 585,580 292,790 146,395 439,186 219,593 658,780 329,390 164,695 494,086 247,043 741,130 370,565 1,111,696 555,848 277,924 138,962 69,481 208,444 104,222 52,111 156,334 78,167 234,502 117,251 351,754 175,877 527,632 263,816 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403

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