667,307

101 × 6607

667,307 factors as 101 × 6607. Its 4 positive divisors give a proper-divisor sum of 6,709, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 101 × 6607

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 674,016

Proper Divisor Sum 6,709

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #667283 ← → #667309

Radix Representation

Decimal	667307
Binary	10100010111010101011 (20 bits)
Octal	0o2427253
Hexadecimal	0xA2EAB

Divisor Catalog (4)

1 101 6,607 667,307

Collatz Trajectory (141 steps to reach 1)

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

667,307 2,001,922 1,000,961 3,002,884 1,501,442 750,721 2,252,164 1,126,082 563,041 1,689,124 844,562 422,281 1,266,844 633,422 316,711 950,134 475,067 1,425,202 712,601 2,137,804 1,068,902 534,451 1,603,354 801,677 2,405,032 1,202,516 601,258 300,629 901,888 450,944 225,472 112,736 56,368 28,184 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #667,306 Browse Full Index Next Integer #667,308 →