49,880,824

2³ × 7² × 127247

49,880,824 factors as 2^3 × 7^2 × 127247. Its 24 positive divisors give a proper-divisor sum of 58,916,216, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 127247

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 108,797,040

Proper Divisor Sum 58,916,216

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #49880717 ← → #49880849

Radix Representation

Decimal	49880824
Binary	10111110010001111011111000 (26 bits)
Octal	0o276217370
Hexadecimal	0x2F91EF8

Divisor Catalog (24)

Collatz Trajectory (217 steps to reach 1)

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

49,880,824 24,940,412 12,470,206 6,235,103 18,705,310 9,352,655 28,057,966 14,028,983 42,086,950 21,043,475 63,130,426 31,565,213 94,695,640 47,347,820 23,673,910 11,836,955 35,510,866 17,755,433 53,266,300 26,633,150 13,316,575 39,949,726 19,974,863 59,924,590 29,962,295 89,886,886 44,943,443 134,830,330 67,415,165 202,245,496 101,122,748 50,561,374 25,280,687 75,842,062 37,921,031 113,763,094 56,881,547 170,644,642 85,322,321 255,966,964 127,983,482 63,991,741 191,975,224 95,987,612 47,993,806 23,996,903 71,990,710 35,995,355 107,986,066 53,993,033 161,979,100 80,989,550 40,494,775 121,484,326 60,742,163 182,226,490 91,113,245 273,339,736 136,669,868 68,334,934

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