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Atlas › Integer Profiles › Node 46,355,848

46,355,848

23 × 7 × 11 × 75253
Abundant Even Composite

46,355,848 factors as 2^3 × 7 × 11 × 75253. Its 32 positive divisors give a proper-divisor sum of 62,009,912, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 75253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 108,365,760
Proper Divisor Sum 62,009,912
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #46355843 ← → #46355851

Radix Representation

Decimal 46355848
Binary 10110000110101010110001000 (26 bits)
Octal 0o260652610
Hexadecimal 0x2C35588

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 75,253 150,506 301,012 526,771 602,024 827,783 1,053,542 1,655,566 2,107,084 3,311,132 4,214,168 5,794,481 6,622,264 11,588,962 23,177,924 46,355,848

Collatz Trajectory (155 steps to reach 1)

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

46,355,848 23,177,924 11,588,962 5,794,481 17,383,444 8,691,722 4,345,861 13,037,584 6,518,792 3,259,396 1,629,698 814,849 2,444,548 1,222,274 611,137 1,833,412 916,706 458,353 1,375,060 687,530 343,765 1,031,296 515,648 257,824 128,912 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171

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