3,126,952

2³ × 390869

Starting at 3,126,952, the Collatz iteration reaches 1 after 164 steps. The first transition is 1563476; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 390869

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,863,050

Proper Divisor Sum 2,736,098

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3126901 ← → #3126961

Radix Representation

Decimal	3126952
Binary	1011111011011010101000 (22 bits)
Octal	0o13733250
Hexadecimal	0x2FB6A8

Divisor Catalog (8)

1 2 4 8 390,869 781,738 1,563,476 3,126,952

Collatz Trajectory (164 steps to reach 1)

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

3,126,952 1,563,476 781,738 390,869 1,172,608 586,304 293,152 146,576 73,288 36,644 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94

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