λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,989,090

3,989,090

2 × 5 × 73 × 1163
Abundant Even Composite

3,989,090 factors as 2 × 5 × 7^3 × 1163. Its 32 positive divisors give a proper-divisor sum of 4,391,710, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,380,800
Proper Divisor Sum 4,391,710
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3989057 ← → #3989093

Radix Representation

Decimal 3989090
Binary 1111001101111001100010 (22 bits)
Octal 0o17157142
Hexadecimal 0x3CDE62

Divisor Catalog (32)

1 2 5 7 10 14 35 49 70 98 245 343 490 686 1,163 1,715 2,326 3,430 5,815 8,141 11,630 16,282 40,705 56,987 81,410 113,974 284,935 398,909 569,870 797,818 1,994,545 3,989,090

Collatz Trajectory (79 steps to reach 1)

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

3,989,090 1,994,545 5,983,636 2,991,818 1,495,909 4,487,728 2,243,864 1,121,932 560,966 280,483 841,450 420,725 1,262,176 631,088 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,989,089 Browse Full Index Next Integer #3,989,091 →