3,548,826

2 × 3³ × 65719

3,548,826 factors as 2 × 3^3 × 65719. Its 16 positive divisors give a proper-divisor sum of 4,337,574, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 65719

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,886,400

Proper Divisor Sum 4,337,574

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3548807 ← → #3548851

Radix Representation

Decimal	3548826
Binary	1101100010011010011010 (22 bits)
Octal	0o15423232
Hexadecimal	0x36269A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 65,719 131,438 197,157 394,314 591,471 1,182,942 1,774,413 3,548,826

Collatz Trajectory (146 steps to reach 1)

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

3,548,826 1,774,413 5,323,240 2,661,620 1,330,810 665,405 1,996,216 998,108 499,054 249,527 748,582 374,291 1,122,874 561,437 1,684,312 842,156 421,078 210,539 631,618 315,809 947,428 473,714 236,857 710,572 355,286 177,643 532,930 266,465 799,396 399,698 199,849 599,548 299,774 149,887 449,662 224,831 674,494 337,247 1,011,742 505,871 1,517,614 758,807 2,276,422 1,138,211 3,414,634 1,707,317 5,121,952 2,560,976 1,280,488 640,244 320,122 160,061 480,184 240,092 120,046 60,023 180,070 90,035 270,106 135,053

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