7,209,639

3² × 31 × 25841

7,209,639 factors as 3^2 × 31 × 25841. Its 12 positive divisors give a proper-divisor sum of 3,540,633, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 25841

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,750,272

Proper Divisor Sum 3,540,633

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7209637 ← → #7209641

Radix Representation

Decimal	7209639
Binary	11011100000001010100111 (23 bits)
Octal	0o33401247
Hexadecimal	0x6E02A7

Divisor Catalog (12)

1 3 9 31 93 279 25,841 77,523 232,569 801,071 2,403,213 7,209,639

Collatz Trajectory (98 steps to reach 1)

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

7,209,639 21,628,918 10,814,459 32,443,378 16,221,689 48,665,068 24,332,534 12,166,267 36,498,802 18,249,401 54,748,204 27,374,102 13,687,051 41,061,154 20,530,577 61,591,732 30,795,866 15,397,933 46,193,800 23,096,900 11,548,450 5,774,225 17,322,676 8,661,338 4,330,669 12,992,008 6,496,004 3,248,002 1,624,001 4,872,004 2,436,002 1,218,001 3,654,004 1,827,002 913,501 2,740,504 1,370,252 685,126 342,563 1,027,690 513,845 1,541,536 770,768 385,384 192,692 96,346 48,173 144,520 72,260 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622

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