λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,044,598

6,044,598

2 × 33 × 7 × 15991
Abundant Even Composite

6,044,598 factors as 2 × 3^3 × 7 × 15991. Its 32 positive divisors give a proper-divisor sum of 9,307,722, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 15991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,352,320
Proper Divisor Sum 9,307,722
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6044581 ← → #6044627

Radix Representation

Decimal 6044598
Binary 10111000011101110110110 (23 bits)
Octal 0o27035666
Hexadecimal 0x5C3BB6

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 15,991 31,982 47,973 95,946 111,937 143,919 223,874 287,838 335,811 431,757 671,622 863,514 1,007,433 2,014,866 3,022,299 6,044,598

Collatz Trajectory (95 steps to reach 1)

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

6,044,598 3,022,299 9,066,898 4,533,449 13,600,348 6,800,174 3,400,087 10,200,262 5,100,131 15,300,394 7,650,197 22,950,592 11,475,296 5,737,648 2,868,824 1,434,412 717,206 358,603 1,075,810 537,905 1,613,716 806,858 403,429 1,210,288 605,144 302,572 151,286 75,643 226,930 113,465 340,396 170,198 85,099 255,298 127,649 382,948 191,474 95,737 287,212 143,606 71,803 215,410 107,705 323,116 161,558 80,779 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,044,597 Browse Full Index Next Integer #6,044,599 →