λ
Ratio Atlas

4,920,011

67 × 73433
Deficient Odd Composite

4,920,011 factors as 67 × 73433. Its 4 positive divisors give a proper-divisor sum of 73,501, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 67 × 73433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,993,512
Proper Divisor Sum 73,501
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4919989 ← → #4920023

Radix Representation

Decimal 4920011
Binary 10010110001001011001011 (23 bits)
Octal 0o22611313
Hexadecimal 0x4B12CB

Divisor Catalog (4)

1 67 73,433 4,920,011

Collatz Trajectory (144 steps to reach 1)

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

4,920,011 14,760,034 7,380,017 22,140,052 11,070,026 5,535,013 16,605,040 8,302,520 4,151,260 2,075,630 1,037,815 3,113,446 1,556,723 4,670,170 2,335,085 7,005,256 3,502,628 1,751,314 875,657 2,626,972 1,313,486 656,743 1,970,230 985,115 2,955,346 1,477,673 4,433,020 2,216,510 1,108,255 3,324,766 1,662,383 4,987,150 2,493,575 7,480,726 3,740,363 11,221,090 5,610,545 16,831,636 8,415,818 4,207,909 12,623,728 6,311,864 3,155,932 1,577,966 788,983 2,366,950 1,183,475 3,550,426 1,775,213 5,325,640 2,662,820 1,331,410 665,705 1,997,116 998,558 499,279 1,497,838 748,919 2,246,758 1,123,379

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