λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,000,309

6,000,309

32 × 7 × 23 × 41 × 101
Deficient Odd Composite

6,000,309 factors as 3^2 × 7 × 23 × 41 × 101. Its 48 positive divisors give a proper-divisor sum of 4,692,555, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 41 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,692,864
Proper Divisor Sum 4,692,555
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6000307 ← → #6000317

Radix Representation

Decimal 6000309
Binary 10110111000111010110101 (23 bits)
Octal 0o26707265
Hexadecimal 0x5B8EB5

Divisor Catalog (48)

1 3 7 9 21 23 41 63 69 101 123 161 207 287 303 369 483 707 861 909 943 1,449 2,121 2,323 2,583 2,829 4,141 6,363 6,601 6,969 8,487 12,423 16,261 19,803 20,907 28,987 37,269 48,783 59,409 86,961 95,243 146,349 260,883 285,729 666,701 857,187 2,000,103 6,000,309

Collatz Trajectory (113 steps to reach 1)

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

6,000,309 18,000,928 9,000,464 4,500,232 2,250,116 1,125,058 562,529 1,687,588 843,794 421,897 1,265,692 632,846 316,423 949,270 474,635 1,423,906 711,953 2,135,860 1,067,930 533,965 1,601,896 800,948 400,474 200,237 600,712 300,356 150,178 75,089 225,268 112,634 56,317 168,952 84,476 42,238 21,119 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,000,308 Browse Full Index Next Integer #6,000,310 →