6,948,543

3 × 7² × 47269

Starting at 6,948,543, the Collatz iteration reaches 1 after 222 steps. The first transition is 20845630; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 47269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,777,560

Proper Divisor Sum 3,829,017

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6948523 ← → #6948569

Radix Representation

Decimal	6948543
Binary	11010100000011010111111 (23 bits)
Octal	0o32403277
Hexadecimal	0x6A06BF

Divisor Catalog (12)

1 3 7 21 49 147 47,269 141,807 330,883 992,649 2,316,181 6,948,543

Collatz Trajectory (222 steps to reach 1)

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

6,948,543 20,845,630 10,422,815 31,268,446 15,634,223 46,902,670 23,451,335 70,354,006 35,177,003 105,531,010 52,765,505 158,296,516 79,148,258 39,574,129 118,722,388 59,361,194 29,680,597 89,041,792 44,520,896 22,260,448 11,130,224 5,565,112 2,782,556 1,391,278 695,639 2,086,918 1,043,459 3,130,378 1,565,189 4,695,568 2,347,784 1,173,892 586,946 293,473 880,420 440,210 220,105 660,316 330,158 165,079 495,238 247,619 742,858 371,429 1,114,288 557,144 278,572 139,286 69,643 208,930 104,465 313,396 156,698 78,349 235,048 117,524 58,762 29,381 88,144 44,072

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