λ
Ratio Atlas

2,855,376

24 × 32 × 79 × 251
Abundant Even Composite

2,855,376 factors as 2^4 × 3^2 × 79 × 251. Its 60 positive divisors give a proper-divisor sum of 5,269,104, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 79 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,124,480
Proper Divisor Sum 5,269,104
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2855357 ← → #2855383

Radix Representation

Decimal 2855376
Binary 1010111001000111010000 (22 bits)
Octal 0o12710720
Hexadecimal 0x2B91D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 251 316 474 502 632 711 753 948 1,004 1,264 1,422 1,506 1,896 2,008 2,259 2,844 3,012 3,792 4,016 4,518 5,688 6,024 9,036 11,376 12,048 18,072 19,829 36,144 39,658 59,487 79,316 118,974 158,632 178,461 237,948 317,264 356,922 475,896 713,844 951,792 1,427,688 2,855,376

Collatz Trajectory (151 steps to reach 1)

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

2,855,376 1,427,688 713,844 356,922 178,461 535,384 267,692 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023

More profiles

← Previous Integer #2,855,375 Browse Full Index Next Integer #2,855,377 →