λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,015,776

23,015,776

25 × 7 × 37 × 2777
Abundant Even Composite

23,015,776 factors as 2^5 × 7 × 37 × 2777. Its 48 positive divisors give a proper-divisor sum of 30,188,480, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 2777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,204,256
Proper Divisor Sum 30,188,480
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #23015767 ← → #23015777

Radix Representation

Decimal 23015776
Binary 1010111110011000101100000 (25 bits)
Octal 0o127630540
Hexadecimal 0x15F3160

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1,036 1,184 2,072 2,777 4,144 5,554 8,288 11,108 19,439 22,216 38,878 44,432 77,756 88,864 102,749 155,512 205,498 311,024 410,996 622,048 719,243 821,992 1,438,486 1,643,984 2,876,972 3,287,968 5,753,944 11,507,888 23,015,776

Collatz Trajectory (247 steps to reach 1)

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

23,015,776 11,507,888 5,753,944 2,876,972 1,438,486 719,243 2,157,730 1,078,865 3,236,596 1,618,298 809,149 2,427,448 1,213,724 606,862 303,431 910,294 455,147 1,365,442 682,721 2,048,164 1,024,082 512,041 1,536,124 768,062 384,031 1,152,094 576,047 1,728,142 864,071 2,592,214 1,296,107 3,888,322 1,944,161 5,832,484 2,916,242 1,458,121 4,374,364 2,187,182 1,093,591 3,280,774 1,640,387 4,921,162 2,460,581 7,381,744 3,690,872 1,845,436 922,718 461,359 1,384,078 692,039 2,076,118 1,038,059 3,114,178 1,557,089 4,671,268 2,335,634 1,167,817 3,503,452 1,751,726 875,863

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