λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,972,848

3,972,848

24 × 11 × 22573
Abundant Even Composite

3,972,848 factors as 2^4 × 11 × 22573. Its 20 positive divisors give a proper-divisor sum of 4,424,680, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 22573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,397,528
Proper Divisor Sum 4,424,680
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3972841 ← → #3972851

Radix Representation

Decimal 3972848
Binary 1111001001111011110000 (22 bits)
Octal 0o17117360
Hexadecimal 0x3C9EF0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 22,573 45,146 90,292 180,584 248,303 361,168 496,606 993,212 1,986,424 3,972,848

Collatz Trajectory (123 steps to reach 1)

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

3,972,848 1,986,424 993,212 496,606 248,303 744,910 372,455 1,117,366 558,683 1,676,050 838,025 2,514,076 1,257,038 628,519 1,885,558 942,779 2,828,338 1,414,169 4,242,508 2,121,254 1,060,627 3,181,882 1,590,941 4,772,824 2,386,412 1,193,206 596,603 1,789,810 894,905 2,684,716 1,342,358 671,179 2,013,538 1,006,769 3,020,308 1,510,154 755,077 2,265,232 1,132,616 566,308 283,154 141,577 424,732 212,366 106,183 318,550 159,275 477,826 238,913 716,740 358,370 179,185 537,556 268,778 134,389 403,168 201,584 100,792 50,396 25,198

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,972,847 Browse Full Index Next Integer #3,972,849 →