7,336,708

2² × 31 × 59167

7,336,708 factors as 2^2 × 31 × 59167. Its 12 positive divisors give a proper-divisor sum of 5,916,924, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 59167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,253,632

Proper Divisor Sum 5,916,924

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7336699 ← → #7336711

Radix Representation

Decimal	7336708
Binary	11011111111001100000100 (23 bits)
Octal	0o33771404
Hexadecimal	0x6FF304

Divisor Catalog (12)

1 2 4 31 62 124 59,167 118,334 236,668 1,834,177 3,668,354 7,336,708

Collatz Trajectory (204 steps to reach 1)

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

7,336,708 3,668,354 1,834,177 5,502,532 2,751,266 1,375,633 4,126,900 2,063,450 1,031,725 3,095,176 1,547,588 773,794 386,897 1,160,692 580,346 290,173 870,520 435,260 217,630 108,815 326,446 163,223 489,670 244,835 734,506 367,253 1,101,760 550,880 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538

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