λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,454,268

4,454,268

22 × 3 × 7 × 13 × 4079
Abundant Even Composite

4,454,268 factors as 2^2 × 3 × 7 × 13 × 4079. Its 48 positive divisors give a proper-divisor sum of 8,340,612, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 4079
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,794,880
Proper Divisor Sum 8,340,612
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4454239 ← → #4454269

Radix Representation

Decimal 4454268
Binary 10000111111011101111100 (23 bits)
Octal 0o20773574
Hexadecimal 0x43F77C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 4,079 8,158 12,237 16,316 24,474 28,553 48,948 53,027 57,106 85,659 106,054 114,212 159,081 171,318 212,108 318,162 342,636 371,189 636,324 742,378 1,113,567 1,484,756 2,227,134 4,454,268

Collatz Trajectory (193 steps to reach 1)

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

4,454,268 2,227,134 1,113,567 3,340,702 1,670,351 5,011,054 2,505,527 7,516,582 3,758,291 11,274,874 5,637,437 16,912,312 8,456,156 4,228,078 2,114,039 6,342,118 3,171,059 9,513,178 4,756,589 14,269,768 7,134,884 3,567,442 1,783,721 5,351,164 2,675,582 1,337,791 4,013,374 2,006,687 6,020,062 3,010,031 9,030,094 4,515,047 13,545,142 6,772,571 20,317,714 10,158,857 30,476,572 15,238,286 7,619,143 22,857,430 11,428,715 34,286,146 17,143,073 51,429,220 25,714,610 12,857,305 38,571,916 19,285,958 9,642,979 28,928,938 14,464,469 43,393,408 21,696,704 10,848,352 5,424,176 2,712,088 1,356,044 678,022 339,011 1,017,034

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,454,267 Browse Full Index Next Integer #4,454,269 →