50,626,888

2³ × 13 × 486797

50,626,888 factors as 2^3 × 13 × 486797. Its 16 positive divisors give a proper-divisor sum of 51,600,692, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 486797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 102,227,580

Proper Divisor Sum 51,600,692

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #50626871 ← → #50626931

Radix Representation

Decimal	50626888
Binary	11000001001000000101001000 (26 bits)
Octal	0o301100510
Hexadecimal	0x3048148

Divisor Catalog (16)

1 2 4 8 13 26 52 104 486,797 973,594 1,947,188 3,894,376 6,328,361 12,656,722 25,313,444 50,626,888

Collatz Trajectory (155 steps to reach 1)

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

50,626,888 25,313,444 12,656,722 6,328,361 18,985,084 9,492,542 4,746,271 14,238,814 7,119,407 21,358,222 10,679,111 32,037,334 16,018,667 48,056,002 24,028,001 72,084,004 36,042,002 18,021,001 54,063,004 27,031,502 13,515,751 40,547,254 20,273,627 60,820,882 30,410,441 91,231,324 45,615,662 22,807,831 68,423,494 34,211,747 102,635,242 51,317,621 153,952,864 76,976,432 38,488,216 19,244,108 9,622,054 4,811,027 14,433,082 7,216,541 21,649,624 10,824,812 5,412,406 2,706,203 8,118,610 4,059,305 12,177,916 6,088,958 3,044,479 9,133,438 4,566,719 13,700,158 6,850,079 20,550,238 10,275,119 30,825,358 15,412,679 46,238,038 23,119,019 69,357,058

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