7,748,166

2 × 3 × 97 × 13313

7,748,166 factors as 2 × 3 × 97 × 13313. Its 16 positive divisors give a proper-divisor sum of 7,909,098, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 13313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,657,264

Proper Divisor Sum 7,909,098

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7748129 ← → #7748177

Radix Representation

Decimal	7748166
Binary	11101100011101001000110 (23 bits)
Octal	0o35435106
Hexadecimal	0x763A46

Divisor Catalog (16)

1 2 3 6 97 194 291 582 13,313 26,626 39,939 79,878 1,291,361 2,582,722 3,874,083 7,748,166

Collatz Trajectory (98 steps to reach 1)

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

7,748,166 3,874,083 11,622,250 5,811,125 17,433,376 8,716,688 4,358,344 2,179,172 1,089,586 544,793 1,634,380 817,190 408,595 1,225,786 612,893 1,838,680 919,340 459,670 229,835 689,506 344,753 1,034,260 517,130 258,565 775,696 387,848 193,924 96,962 48,481 145,444 72,722 36,361 109,084 54,542 27,271 81,814 40,907 122,722 61,361 184,084 92,042 46,021 138,064 69,032 34,516 17,258 8,629 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,748,165 Browse Full Index Next Integer #7,748,167 →