7,992,009

3² × 888001

7,992,009 factors as 3^2 × 888001. Its 6 positive divisors give a proper-divisor sum of 3,552,017, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3^2 × 888001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,544,026

Proper Divisor Sum 3,552,017

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7991999 ← → #7992011

Radix Representation

Decimal	7992009
Binary	11110011111001011001001 (23 bits)
Octal	0o36371311
Hexadecimal	0x79F2C9

Divisor Catalog (6)

1 3 9 888,001 2,664,003 7,992,009

Collatz Trajectory (186 steps to reach 1)

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

7,992,009 23,976,028 11,988,014 5,994,007 17,982,022 8,991,011 26,973,034 13,486,517 40,459,552 20,229,776 10,114,888 5,057,444 2,528,722 1,264,361 3,793,084 1,896,542 948,271 2,844,814 1,422,407 4,267,222 2,133,611 6,400,834 3,200,417 9,601,252 4,800,626 2,400,313 7,200,940 3,600,470 1,800,235 5,400,706 2,700,353 8,101,060 4,050,530 2,025,265 6,075,796 3,037,898 1,518,949 4,556,848 2,278,424 1,139,212 569,606 284,803 854,410 427,205 1,281,616 640,808 320,404 160,202 80,101 240,304 120,152 60,076 30,038 15,019 45,058 22,529 67,588 33,794 16,897 50,692

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