λ
Ratio Atlas
Atlas › Integer Profiles › Node 34,001,037

34,001,037

32 × 7 × 17 × 53 × 599
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 53 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 60,652,800
Proper Divisor Sum 26,651,763
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #34001029 ← → #34001041

Radix Representation

Decimal 34001037
Binary 10000001101101000010001101 (26 bits)
Octal 0o201550215
Hexadecimal 0x206D08D

Divisor Catalog (48)

1 3 7 9 17 21 51 53 63 119 153 159 357 371 477 599 901 1,071 1,113 1,797 2,703 3,339 4,193 5,391 6,307 8,109 10,183 12,579 18,921 30,549 31,747 37,737 56,763 71,281 91,647 95,241 213,843 222,229 285,723 539,699 641,529 666,687 1,619,097 2,000,061 3,777,893 4,857,291 11,333,679 34,001,037

Collatz Trajectory (51 steps to reach 1)

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

34,001,037 102,003,112 51,001,556 25,500,778 12,750,389 38,251,168 19,125,584 9,562,792 4,781,396 2,390,698 1,195,349 3,586,048 1,793,024 896,512 448,256 224,128 112,064 56,032 28,016 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #34,001,036 Browse Full Index Next Integer #34,001,038 →