λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,073,006

1,073,006

2 × 11 × 17 × 19 × 151
Deficient Even Composite

1,073,006 factors as 2 × 11 × 17 × 19 × 151. Its 32 positive divisors give a proper-divisor sum of 896,914, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 19 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,969,920
Proper Divisor Sum 896,914
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1072999 ← → #1073053

Radix Representation

Decimal 1073006
Binary 100000101111101101110 (21 bits)
Octal 0o4057556
Hexadecimal 0x105F6E

Divisor Catalog (32)

1 2 11 17 19 22 34 38 151 187 209 302 323 374 418 646 1,661 2,567 2,869 3,322 3,553 5,134 5,738 7,106 28,237 31,559 48,773 56,474 63,118 97,546 536,503 1,073,006

Collatz Trajectory (240 steps to reach 1)

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

1,073,006 536,503 1,609,510 804,755 2,414,266 1,207,133 3,621,400 1,810,700 905,350 452,675 1,358,026 679,013 2,037,040 1,018,520 509,260 254,630 127,315 381,946 190,973 572,920 286,460 143,230 71,615 214,846 107,423 322,270 161,135 483,406 241,703 725,110 362,555 1,087,666 543,833 1,631,500 815,750 407,875 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,073,005 Browse Full Index Next Integer #1,073,007 →