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Atlas › Integer Profiles › Node 46,031,552

46,031,552

26 × 7 × 37 × 2777
Abundant Even Composite

46,031,552 factors as 2^6 × 7 × 37 × 2777. Its 56 positive divisors give a proper-divisor sum of 61,221,472, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 37 × 2777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 107,253,024
Proper Divisor Sum 61,221,472
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #46031539 ← → #46031569

Radix Representation

Decimal 46031552
Binary 10101111100110001011000000 (26 bits)
Octal 0o257461300
Hexadecimal 0x2BE62C0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1,036 1,184 2,072 2,368 2,777 4,144 5,554 8,288 11,108 16,576 19,439 22,216 38,878 44,432 77,756 88,864 102,749 155,512 177,728 205,498 311,024 410,996 622,048 719,243 821,992 1,244,096 1,438,486 1,643,984 2,876,972 3,287,968 5,753,944 6,575,936 11,507,888 23,015,776 46,031,552

Collatz Trajectory (248 steps to reach 1)

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

46,031,552 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

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