3,136,944

2⁴ × 3 × 65353

3,136,944 factors as 2^4 × 3 × 65353. Its 20 positive divisors give a proper-divisor sum of 4,966,952, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 65353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,103,896

Proper Divisor Sum 4,966,952

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3136943 ← → #3136949

Radix Representation

Decimal	3136944
Binary	1011111101110110110000 (22 bits)
Octal	0o13756660
Hexadecimal	0x2FDDB0

Divisor Catalog (20)

Collatz Trajectory (195 steps to reach 1)

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

3,136,944 1,568,472 784,236 392,118 196,059 588,178 294,089 882,268 441,134 220,567 661,702 330,851 992,554 496,277 1,488,832 744,416 372,208 186,104 93,052 46,526 23,263 69,790 34,895 104,686 52,343 157,030 78,515 235,546 117,773 353,320 176,660 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320

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