λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,536,040

4,536,040

23 × 5 × 151 × 751
Abundant Even Composite

4,536,040 factors as 2^3 × 5 × 151 × 751. Its 32 positive divisors give a proper-divisor sum of 5,751,320, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 151 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,287,360
Proper Divisor Sum 5,751,320
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4536029 ← → #4536047

Radix Representation

Decimal 4536040
Binary 10001010011011011101000 (23 bits)
Octal 0o21233350
Hexadecimal 0x4536E8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 151 302 604 751 755 1,208 1,502 1,510 3,004 3,020 3,755 6,008 6,040 7,510 15,020 30,040 113,401 226,802 453,604 567,005 907,208 1,134,010 2,268,020 4,536,040

Collatz Trajectory (87 steps to reach 1)

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

4,536,040 2,268,020 1,134,010 567,005 1,701,016 850,508 425,254 212,627 637,882 318,941 956,824 478,412 239,206 119,603 358,810 179,405 538,216 269,108 134,554 67,277 201,832 100,916 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,536,039 Browse Full Index Next Integer #4,536,041 →