λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,094,648

40,094,648

23 × 11 × 673 × 677
Abundant Even Composite

40,094,648 factors as 2^3 × 11 × 673 × 677. Its 32 positive divisors give a proper-divisor sum of 42,160,312, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 673 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,254,960
Proper Divisor Sum 42,160,312
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #40094647 ← → #40094651

Radix Representation

Decimal 40094648
Binary 10011000111100101110111000 (26 bits)
Octal 0o230745670
Hexadecimal 0x263CBB8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 673 677 1,346 1,354 2,692 2,708 5,384 5,416 7,403 7,447 14,806 14,894 29,612 29,788 59,224 59,576 455,621 911,242 1,822,484 3,644,968 5,011,831 10,023,662 20,047,324 40,094,648

Collatz Trajectory (191 steps to reach 1)

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

40,094,648 20,047,324 10,023,662 5,011,831 15,035,494 7,517,747 22,553,242 11,276,621 33,829,864 16,914,932 8,457,466 4,228,733 12,686,200 6,343,100 3,171,550 1,585,775 4,757,326 2,378,663 7,135,990 3,567,995 10,703,986 5,351,993 16,055,980 8,027,990 4,013,995 12,041,986 6,020,993 18,062,980 9,031,490 4,515,745 13,547,236 6,773,618 3,386,809 10,160,428 5,080,214 2,540,107 7,620,322 3,810,161 11,430,484 5,715,242 2,857,621 8,572,864 4,286,432 2,143,216 1,071,608 535,804 267,902 133,951 401,854 200,927 602,782 301,391 904,174 452,087 1,356,262 678,131 2,034,394 1,017,197 3,051,592 1,525,796

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #40,094,647 Browse Full Index Next Integer #40,094,649 →