λ
Prime Ledger

7,009,332

22 × 3 × 11 × 53101
Abundant Even Composite

7,009,332 has the prime decomposition 2^2 × 3 × 11 × 53101. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 53101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,842,272
Proper Divisor Sum 10,832,940
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7009313 ← → #7009337

Radix Representation

Decimal 7009332
Binary 11010101111010000110100 (23 bits)
Octal 0o32572064
Hexadecimal 0x6AF434

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 53,101 106,202 159,303 212,404 318,606 584,111 637,212 1,168,222 1,752,333 2,336,444 3,504,666 7,009,332

Collatz Trajectory (147 steps to reach 1)

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

7,009,332 3,504,666 1,752,333 5,257,000 2,628,500 1,314,250 657,125 1,971,376 985,688 492,844 246,422 123,211 369,634 184,817 554,452 277,226 138,613 415,840 207,920 103,960 51,980 25,990 12,995 38,986 19,493 58,480 29,240 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206

More profiles

← Previous Integer #7,009,331 Browse Full Index Next Integer #7,009,333 →