313,443

3³ × 13 × 19 × 47

313,443 factors as 3^3 × 13 × 19 × 47. Its 32 positive divisors give a proper-divisor sum of 224,157, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 19 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 537,600

Proper Divisor Sum 224,157

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #313409 ← → #313471

Radix Representation

Decimal	313443
Binary	1001100100001100011 (19 bits)
Octal	0o1144143
Hexadecimal	0x4C863

Divisor Catalog (32)

1 3 9 13 19 27 39 47 57 117 141 171 247 351 423 513 611 741 893 1,269 1,833 2,223 2,679 5,499 6,669 8,037 11,609 16,497 24,111 34,827 104,481 313,443

Collatz Trajectory (153 steps to reach 1)

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

313,443 940,330 470,165 1,410,496 705,248 352,624 176,312 88,156 44,078 22,039 66,118 33,059 99,178 49,589 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #313,442 Browse Full Index Next Integer #313,444 →