7,123,312

2⁴ × 7 × 63601

7,123,312 factors as 2^4 × 7 × 63601. Its 20 positive divisors give a proper-divisor sum of 8,649,984, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 63601

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,773,296

Proper Divisor Sum 8,649,984

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7123301 ← → #7123313

Radix Representation

Decimal	7123312
Binary	11011001011000101110000 (23 bits)
Octal	0o33130560
Hexadecimal	0x6CB170

Divisor Catalog (20)

Collatz Trajectory (160 steps to reach 1)

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

7,123,312 3,561,656 1,780,828 890,414 445,207 1,335,622 667,811 2,003,434 1,001,717 3,005,152 1,502,576 751,288 375,644 187,822 93,911 281,734 140,867 422,602 211,301 633,904 316,952 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,123,311 Browse Full Index Next Integer #7,123,313 →