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Atlas › Integer Profiles › Node 4,848,865

4,848,865

5 × 7 × 31 × 41 × 109
Deficient Odd Composite

4,848,865 factors as 5 × 7 × 31 × 41 × 109. Its 32 positive divisors give a proper-divisor sum of 2,247,455, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 41 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,096,320
Proper Divisor Sum 2,247,455
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4848847 ← → #4848869

Radix Representation

Decimal 4848865
Binary 10010011111110011100001 (23 bits)
Octal 0o22376341
Hexadecimal 0x49FCE1

Divisor Catalog (32)

1 5 7 31 35 41 109 155 205 217 287 545 763 1,085 1,271 1,435 3,379 3,815 4,469 6,355 8,897 16,895 22,345 23,653 31,283 44,485 118,265 138,539 156,415 692,695 969,773 4,848,865

Collatz Trajectory (118 steps to reach 1)

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

4,848,865 14,546,596 7,273,298 3,636,649 10,909,948 5,454,974 2,727,487 8,182,462 4,091,231 12,273,694 6,136,847 18,410,542 9,205,271 27,615,814 13,807,907 41,423,722 20,711,861 62,135,584 31,067,792 15,533,896 7,766,948 3,883,474 1,941,737 5,825,212 2,912,606 1,456,303 4,368,910 2,184,455 6,553,366 3,276,683 9,830,050 4,915,025 14,745,076 7,372,538 3,686,269 11,058,808 5,529,404 2,764,702 1,382,351 4,147,054 2,073,527 6,220,582 3,110,291 9,330,874 4,665,437 13,996,312 6,998,156 3,499,078 1,749,539 5,248,618 2,624,309 7,872,928 3,936,464 1,968,232 984,116 492,058 246,029 738,088 369,044 184,522

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