λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,073,585

20,073,585

3 × 5 × 72 × 31 × 881
Deficient Odd Composite

20,073,585 factors as 3 × 5 × 7^2 × 31 × 881. Its 48 positive divisors give a proper-divisor sum of 18,536,847, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 31 × 881
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,610,432
Proper Divisor Sum 18,536,847
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #20073577 ← → #20073589

Radix Representation

Decimal 20073585
Binary 1001100100100110001110001 (25 bits)
Octal 0o114446161
Hexadecimal 0x1324C71

Divisor Catalog (48)

1 3 5 7 15 21 31 35 49 93 105 147 155 217 245 465 651 735 881 1,085 1,519 2,643 3,255 4,405 4,557 6,167 7,595 13,215 18,501 22,785 27,311 30,835 43,169 81,933 92,505 129,507 136,555 191,177 215,845 409,665 573,531 647,535 955,885 1,338,239 2,867,655 4,014,717 6,691,195 20,073,585

Collatz Trajectory (177 steps to reach 1)

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

20,073,585 60,220,756 30,110,378 15,055,189 45,165,568 22,582,784 11,291,392 5,645,696 2,822,848 1,411,424 705,712 352,856 176,428 88,214 44,107 132,322 66,161 198,484 99,242 49,621 148,864 74,432 37,216 18,608 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,073,584 Browse Full Index Next Integer #20,073,586 →