6,991,140

2² × 3 × 5 × 13 × 8963

Starting at 6,991,140, the Collatz iteration reaches 1 after 253 steps. The first transition is 3495570; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 8963

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,083,328

Proper Divisor Sum 14,092,188

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6991133 ← → #6991147

Radix Representation

Decimal	6991140
Binary	11010101010110100100100 (23 bits)
Octal	0o32526444
Hexadecimal	0x6AAD24

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 8,963 17,926 26,889 35,852 44,815 53,778 89,630 107,556 116,519 134,445 179,260 233,038 268,890 349,557 466,076 537,780 582,595 699,114 1,165,190 1,398,228 1,747,785 2,330,380 3,495,570 6,991,140

Collatz Trajectory (253 steps to reach 1)

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

6,991,140 3,495,570 1,747,785 5,243,356 2,621,678 1,310,839 3,932,518 1,966,259 5,898,778 2,949,389 8,848,168 4,424,084 2,212,042 1,106,021 3,318,064 1,659,032 829,516 414,758 207,379 622,138 311,069 933,208 466,604 233,302 116,651 349,954 174,977 524,932 262,466 131,233 393,700 196,850 98,425 295,276 147,638 73,819 221,458 110,729 332,188 166,094 83,047 249,142 124,571 373,714 186,857 560,572 280,286 140,143 420,430 210,215 630,646 315,323 945,970 472,985 1,418,956 709,478 354,739 1,064,218 532,109 1,596,328

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