291,291

3 × 7 × 11 × 13 × 97

291,291 factors as 3 × 7 × 11 × 13 × 97. Its 32 positive divisors give a proper-divisor sum of 235,557, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 526,848

Proper Divisor Sum 235,557

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #291287 ← → #291293

Radix Representation

Decimal	291291
Binary	1000111000111011011 (19 bits)
Octal	0o1070733
Hexadecimal	0x471DB

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 97 143 231 273 291 429 679 1,001 1,067 1,261 2,037 3,003 3,201 3,783 7,469 8,827 13,871 22,407 26,481 41,613 97,097 291,291

Collatz Trajectory (189 steps to reach 1)

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

291,291 873,874 436,937 1,310,812 655,406 327,703 983,110 491,555 1,474,666 737,333 2,212,000 1,106,000 553,000 276,500 138,250 69,125 207,376 103,688 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #291,290 Browse Full Index Next Integer #291,292 →