λ
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Atlas › Integer Profiles › Node 52,648,024

52,648,024

23 × 11 × 13 × 46021
Abundant Even Composite

52,648,024 factors as 2^3 × 11 × 13 × 46021. Its 32 positive divisors give a proper-divisor sum of 63,327,416, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 46021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,975,440
Proper Divisor Sum 63,327,416
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #52648019 ← → #52648051

Radix Representation

Decimal 52648024
Binary 11001000110101100001011000 (26 bits)
Octal 0o310654130
Hexadecimal 0x3235858

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 46,021 92,042 184,084 368,168 506,231 598,273 1,012,462 1,196,546 2,024,924 2,393,092 4,049,848 4,786,184 6,581,003 13,162,006 26,324,012 52,648,024

Collatz Trajectory (150 steps to reach 1)

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

52,648,024 26,324,012 13,162,006 6,581,003 19,743,010 9,871,505 29,614,516 14,807,258 7,403,629 22,210,888 11,105,444 5,552,722 2,776,361 8,329,084 4,164,542 2,082,271 6,246,814 3,123,407 9,370,222 4,685,111 14,055,334 7,027,667 21,083,002 10,541,501 31,624,504 15,812,252 7,906,126 3,953,063 11,859,190 5,929,595 17,788,786 8,894,393 26,683,180 13,341,590 6,670,795 20,012,386 10,006,193 30,018,580 15,009,290 7,504,645 22,513,936 11,256,968 5,628,484 2,814,242 1,407,121 4,221,364 2,110,682 1,055,341 3,166,024 1,583,012 791,506 395,753 1,187,260 593,630 296,815 890,446 445,223 1,335,670 667,835 2,003,506

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