310,971

3 × 103657

310,971 factors as 3 × 103657. Its 4 positive divisors give a proper-divisor sum of 103,661, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3 × 103657

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 414,632

Proper Divisor Sum 103,661

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #310969 ← → #310987

Radix Representation

Decimal	310971
Binary	1001011111010111011 (19 bits)
Octal	0o1137273
Hexadecimal	0x4BEBB

Divisor Catalog (4)

1 3 103,657 310,971

Collatz Trajectory (109 steps to reach 1)

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

310,971 932,914 466,457 1,399,372 699,686 349,843 1,049,530 524,765 1,574,296 787,148 393,574 196,787 590,362 295,181 885,544 442,772 221,386 110,693 332,080 166,040 83,020 41,510 20,755 62,266 31,133 93,400 46,700 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #310,970 Browse Full Index Next Integer #310,972 →