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Atlas › Integer Profiles › Node 48,759,944

48,759,944

23 × 17 × 137 × 2617
Abundant Even Composite

48,759,944 factors as 2^3 × 17 × 137 × 2617. Its 32 positive divisors give a proper-divisor sum of 48,786,736, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 137 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 97,546,680
Proper Divisor Sum 48,786,736
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #48759943 ← → #48759967

Radix Representation

Decimal 48759944
Binary 10111010000000010010001000 (26 bits)
Octal 0o272002210
Hexadecimal 0x2E80488

Divisor Catalog (32)

1 2 4 8 17 34 68 136 137 274 548 1,096 2,329 2,617 4,658 5,234 9,316 10,468 18,632 20,936 44,489 88,978 177,956 355,912 358,529 717,058 1,434,116 2,868,232 6,094,993 12,189,986 24,379,972 48,759,944

Collatz Trajectory (230 steps to reach 1)

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

48,759,944 24,379,972 12,189,986 6,094,993 18,284,980 9,142,490 4,571,245 13,713,736 6,856,868 3,428,434 1,714,217 5,142,652 2,571,326 1,285,663 3,856,990 1,928,495 5,785,486 2,892,743 8,678,230 4,339,115 13,017,346 6,508,673 19,526,020 9,763,010 4,881,505 14,644,516 7,322,258 3,661,129 10,983,388 5,491,694 2,745,847 8,237,542 4,118,771 12,356,314 6,178,157 18,534,472 9,267,236 4,633,618 2,316,809 6,950,428 3,475,214 1,737,607 5,212,822 2,606,411 7,819,234 3,909,617 11,728,852 5,864,426 2,932,213 8,796,640 4,398,320 2,199,160 1,099,580 549,790 274,895 824,686 412,343 1,237,030 618,515 1,855,546

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