λ
Prime Ledger

2,067,201

35 × 47 × 181
Deficient Odd Composite

2,067,201 has the prime decomposition 3^5 × 47 × 181. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 47 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,179,904
Proper Divisor Sum 1,112,703
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2067187 ← → #2067209

Radix Representation

Decimal 2067201
Binary 111111000101100000001 (21 bits)
Octal 0o7705401
Hexadecimal 0x1F8B01

Divisor Catalog (24)

1 3 9 27 47 81 141 181 243 423 543 1,269 1,629 3,807 4,887 8,507 11,421 14,661 25,521 43,983 76,563 229,689 689,067 2,067,201

Collatz Trajectory (109 steps to reach 1)

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

2,067,201 6,201,604 3,100,802 1,550,401 4,651,204 2,325,602 1,162,801 3,488,404 1,744,202 872,101 2,616,304 1,308,152 654,076 327,038 163,519 490,558 245,279 735,838 367,919 1,103,758 551,879 1,655,638 827,819 2,483,458 1,241,729 3,725,188 1,862,594 931,297 2,793,892 1,396,946 698,473 2,095,420 1,047,710 523,855 1,571,566 785,783 2,357,350 1,178,675 3,536,026 1,768,013 5,304,040 2,652,020 1,326,010 663,005 1,989,016 994,508 497,254 248,627 745,882 372,941 1,118,824 559,412 279,706 139,853 419,560 209,780 104,890 52,445 157,336 78,668

More profiles

← Previous Integer #2,067,200 Browse Full Index Next Integer #2,067,202 →