λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,054,072

4,054,072

23 × 11 × 23 × 2003
Abundant Even Composite

4,054,072 factors as 2^3 × 11 × 23 × 2003. Its 32 positive divisors give a proper-divisor sum of 4,603,208, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 23 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,657,280
Proper Divisor Sum 4,603,208
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4054069 ← → #4054091

Radix Representation

Decimal 4054072
Binary 1111011101110000111000 (22 bits)
Octal 0o17356070
Hexadecimal 0x3DDC38

Divisor Catalog (32)

1 2 4 8 11 22 23 44 46 88 92 184 253 506 1,012 2,003 2,024 4,006 8,012 16,024 22,033 44,066 46,069 88,132 92,138 176,264 184,276 368,552 506,759 1,013,518 2,027,036 4,054,072

Collatz Trajectory (229 steps to reach 1)

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

4,054,072 2,027,036 1,013,518 506,759 1,520,278 760,139 2,280,418 1,140,209 3,420,628 1,710,314 855,157 2,565,472 1,282,736 641,368 320,684 160,342 80,171 240,514 120,257 360,772 180,386 90,193 270,580 135,290 67,645 202,936 101,468 50,734 25,367 76,102 38,051 114,154 57,077 171,232 85,616 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,054,071 Browse Full Index Next Integer #4,054,073 →