309,933

3³ × 13 × 883

309,933 factors as 3^3 × 13 × 883. Its 16 positive divisors give a proper-divisor sum of 185,107, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 495,040

Proper Divisor Sum 185,107

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #309931 ← → #309937

Radix Representation

Decimal	309933
Binary	1001011101010101101 (19 bits)
Octal	0o1135255
Hexadecimal	0x4BAAD

Divisor Catalog (16)

1 3 9 13 27 39 117 351 883 2,649 7,947 11,479 23,841 34,437 103,311 309,933

Collatz Trajectory (171 steps to reach 1)

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

309,933 929,800 464,900 232,450 116,225 348,676 174,338 87,169 261,508 130,754 65,377 196,132 98,066 49,033 147,100 73,550 36,775 110,326 55,163 165,490 82,745 248,236 124,118 62,059 186,178 93,089 279,268 139,634 69,817 209,452 104,726 52,363 157,090 78,545 235,636 117,818 58,909 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328

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