λ
Prime Ledger

7,067,333

7 × 13 × 37 × 2099
Deficient Odd Composite

7,067,333 has the prime decomposition 7 × 13 × 37 × 2099. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 37 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,937,600
Proper Divisor Sum 1,870,267
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7067317 ← → #7067341

Radix Representation

Decimal 7067333
Binary 11010111101011011000101 (23 bits)
Octal 0o32753305
Hexadecimal 0x6BD6C5

Divisor Catalog (16)

1 7 13 37 91 259 481 2,099 3,367 14,693 27,287 77,663 191,009 543,641 1,009,619 7,067,333

Collatz Trajectory (160 steps to reach 1)

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

7,067,333 21,202,000 10,601,000 5,300,500 2,650,250 1,325,125 3,975,376 1,987,688 993,844 496,922 248,461 745,384 372,692 186,346 93,173 279,520 139,760 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214

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