7,939,172

2² × 1984793

Starting at 7,939,172, the Collatz iteration reaches 1 after 186 steps. The first transition is 3969586; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1984793

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,893,558

Proper Divisor Sum 5,954,386

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7939171 ← → #7939177

Radix Representation

Decimal	7939172
Binary	11110010010010001100100 (23 bits)
Octal	0o36222144
Hexadecimal	0x792464

Divisor Catalog (6)

1 2 4 1,984,793 3,969,586 7,939,172

Collatz Trajectory (186 steps to reach 1)

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

7,939,172 3,969,586 1,984,793 5,954,380 2,977,190 1,488,595 4,465,786 2,232,893 6,698,680 3,349,340 1,674,670 837,335 2,512,006 1,256,003 3,768,010 1,884,005 5,652,016 2,826,008 1,413,004 706,502 353,251 1,059,754 529,877 1,589,632 794,816 397,408 198,704 99,352 49,676 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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