7,126,232

2³ × 113 × 7883

Starting at 7,126,232, the Collatz iteration reaches 1 after 328 steps. The first transition is 3563116; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 113 × 7883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,481,640

Proper Divisor Sum 6,355,408

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7126201 ← → #7126243

Radix Representation

Decimal	7126232
Binary	11011001011110011011000 (23 bits)
Octal	0o33136330
Hexadecimal	0x6CBCD8

Divisor Catalog (16)

1 2 4 8 113 226 452 904 7,883 15,766 31,532 63,064 890,779 1,781,558 3,563,116 7,126,232

Collatz Trajectory (328 steps to reach 1)

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

7,126,232 3,563,116 1,781,558 890,779 2,672,338 1,336,169 4,008,508 2,004,254 1,002,127 3,006,382 1,503,191 4,509,574 2,254,787 6,764,362 3,382,181 10,146,544 5,073,272 2,536,636 1,268,318 634,159 1,902,478 951,239 2,853,718 1,426,859 4,280,578 2,140,289 6,420,868 3,210,434 1,605,217 4,815,652 2,407,826 1,203,913 3,611,740 1,805,870 902,935 2,708,806 1,354,403 4,063,210 2,031,605 6,094,816 3,047,408 1,523,704 761,852 380,926 190,463 571,390 285,695 857,086 428,543 1,285,630 642,815 1,928,446 964,223 2,892,670 1,446,335 4,339,006 2,169,503 6,508,510 3,254,255 9,762,766

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