λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,628,428

2,628,428

22 × 11 × 31 × 41 × 47
Abundant Even Composite

2,628,428 factors as 2^2 × 11 × 31 × 41 × 47. Its 48 positive divisors give a proper-divisor sum of 2,790,580, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 31 × 41 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,419,008
Proper Divisor Sum 2,790,580
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2628407 ← → #2628481

Radix Representation

Decimal 2628428
Binary 1010000001101101001100 (22 bits)
Octal 0o12015514
Hexadecimal 0x281B4C

Divisor Catalog (48)

1 2 4 11 22 31 41 44 47 62 82 94 124 164 188 341 451 517 682 902 1,034 1,271 1,364 1,457 1,804 1,927 2,068 2,542 2,914 3,854 5,084 5,828 7,708 13,981 16,027 21,197 27,962 32,054 42,394 55,924 59,737 64,108 84,788 119,474 238,948 657,107 1,314,214 2,628,428

Collatz Trajectory (148 steps to reach 1)

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

2,628,428 1,314,214 657,107 1,971,322 985,661 2,956,984 1,478,492 739,246 369,623 1,108,870 554,435 1,663,306 831,653 2,494,960 1,247,480 623,740 311,870 155,935 467,806 233,903 701,710 350,855 1,052,566 526,283 1,578,850 789,425 2,368,276 1,184,138 592,069 1,776,208 888,104 444,052 222,026 111,013 333,040 166,520 83,260 41,630 20,815 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #2,628,427 Browse Full Index Next Integer #2,628,429 →