50,014,640

2⁴ × 5 × 13 × 48091

50,014,640 factors as 2^4 × 5 × 13 × 48091. Its 40 positive divisors give a proper-divisor sum of 75,216,928, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 48091

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 125,231,568

Proper Divisor Sum 75,216,928

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #50014609 ← → #50014667

Radix Representation

Decimal	50014640
Binary	10111110110010100110110000 (26 bits)
Octal	0o276624660
Hexadecimal	0x2FB29B0

Divisor Catalog (40)

Collatz Trajectory (160 steps to reach 1)

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

50,014,640 25,007,320 12,503,660 6,251,830 3,125,915 9,377,746 4,688,873 14,066,620 7,033,310 3,516,655 10,549,966 5,274,983 15,824,950 7,912,475 23,737,426 11,868,713 35,606,140 17,803,070 8,901,535 26,704,606 13,352,303 40,056,910 20,028,455 60,085,366 30,042,683 90,128,050 45,064,025 135,192,076 67,596,038 33,798,019 101,394,058 50,697,029 152,091,088 76,045,544 38,022,772 19,011,386 9,505,693 28,517,080 14,258,540 7,129,270 3,564,635 10,693,906 5,346,953 16,040,860 8,020,430 4,010,215 12,030,646 6,015,323 18,045,970 9,022,985 27,068,956 13,534,478 6,767,239 20,301,718 10,150,859 30,452,578 15,226,289 45,678,868 22,839,434 11,419,717

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