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Atlas › Integer Profiles › Node 4,800,939

4,800,939

3 × 11 × 13 × 192 × 31
Deficient Odd Composite

4,800,939 factors as 3 × 11 × 13 × 19^2 × 31. Its 48 positive divisors give a proper-divisor sum of 3,392,085, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 19^2 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,193,024
Proper Divisor Sum 3,392,085
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4800937 ← → #4800941

Radix Representation

Decimal 4800939
Binary 10010010100000110101011 (23 bits)
Octal 0o22240653
Hexadecimal 0x4941AB

Divisor Catalog (48)

1 3 11 13 19 31 33 39 57 93 143 209 247 341 361 403 429 589 627 741 1,023 1,083 1,209 1,767 2,717 3,971 4,433 4,693 6,479 7,657 8,151 11,191 11,913 13,299 14,079 19,437 22,971 33,573 51,623 84,227 123,101 145,483 154,869 252,681 369,303 436,449 1,600,313 4,800,939

Collatz Trajectory (162 steps to reach 1)

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

4,800,939 14,402,818 7,201,409 21,604,228 10,802,114 5,401,057 16,203,172 8,101,586 4,050,793 12,152,380 6,076,190 3,038,095 9,114,286 4,557,143 13,671,430 6,835,715 20,507,146 10,253,573 30,760,720 15,380,360 7,690,180 3,845,090 1,922,545 5,767,636 2,883,818 1,441,909 4,325,728 2,162,864 1,081,432 540,716 270,358 135,179 405,538 202,769 608,308 304,154 152,077 456,232 228,116 114,058 57,029 171,088 85,544 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142

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