λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,587,772

4,587,772

22 × 72 × 89 × 263
Abundant Even Composite

4,587,772 factors as 2^2 × 7^2 × 89 × 263. Its 36 positive divisors give a proper-divisor sum of 4,892,468, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 89 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,480,240
Proper Divisor Sum 4,892,468
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4587769 ← → #4587851

Radix Representation

Decimal 4587772
Binary 10001100000000011111100 (23 bits)
Octal 0o21400374
Hexadecimal 0x4600FC

Divisor Catalog (36)

1 2 4 7 14 28 49 89 98 178 196 263 356 526 623 1,052 1,246 1,841 2,492 3,682 4,361 7,364 8,722 12,887 17,444 23,407 25,774 46,814 51,548 93,628 163,849 327,698 655,396 1,146,943 2,293,886 4,587,772

Collatz Trajectory (237 steps to reach 1)

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

4,587,772 2,293,886 1,146,943 3,440,830 1,720,415 5,161,246 2,580,623 7,741,870 3,870,935 11,612,806 5,806,403 17,419,210 8,709,605 26,128,816 13,064,408 6,532,204 3,266,102 1,633,051 4,899,154 2,449,577 7,348,732 3,674,366 1,837,183 5,511,550 2,755,775 8,267,326 4,133,663 12,400,990 6,200,495 18,601,486 9,300,743 27,902,230 13,951,115 41,853,346 20,926,673 62,780,020 31,390,010 15,695,005 47,085,016 23,542,508 11,771,254 5,885,627 17,656,882 8,828,441 26,485,324 13,242,662 6,621,331 19,863,994 9,931,997 29,795,992 14,897,996 7,448,998 3,724,499 11,173,498 5,586,749 16,760,248 8,380,124 4,190,062 2,095,031 6,285,094

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,587,771 Browse Full Index Next Integer #4,587,773 →