48,108,148

2² × 11² × 99397

48,108,148 factors as 2^2 × 11^2 × 99397. Its 18 positive divisors give a proper-divisor sum of 44,431,390, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 99397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 92,539,538

Proper Divisor Sum 44,431,390

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #48108143 ← → #48108169

Radix Representation

Decimal	48108148
Binary	10110111100001001001110100 (26 bits)
Octal	0o267411164
Hexadecimal	0x2DE1274

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 99,397 198,794 397,588 1,093,367 2,186,734 4,373,468 12,027,037 24,054,074 48,108,148

Collatz Trajectory (142 steps to reach 1)

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

48,108,148 24,054,074 12,027,037 36,081,112 18,040,556 9,020,278 4,510,139 13,530,418 6,765,209 20,295,628 10,147,814 5,073,907 15,221,722 7,610,861 22,832,584 11,416,292 5,708,146 2,854,073 8,562,220 4,281,110 2,140,555 6,421,666 3,210,833 9,632,500 4,816,250 2,408,125 7,224,376 3,612,188 1,806,094 903,047 2,709,142 1,354,571 4,063,714 2,031,857 6,095,572 3,047,786 1,523,893 4,571,680 2,285,840 1,142,920 571,460 285,730 142,865 428,596 214,298 107,149 321,448 160,724 80,362 40,181 120,544 60,272 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #48,108,147 Browse Full Index Next Integer #48,108,149 →