λ
Ratio Atlas

4,001,757

3 × 1333919
Deficient Odd Composite

4,001,757 factors as 3 × 1333919. Its 4 positive divisors give a proper-divisor sum of 1,333,923, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 1333919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,335,680
Proper Divisor Sum 1,333,923
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4001743 ← → #4001771

Radix Representation

Decimal 4001757
Binary 1111010000111111011101 (22 bits)
Octal 0o17207735
Hexadecimal 0x3D0FDD

Divisor Catalog (4)

1 3 1,333,919 4,001,757

Collatz Trajectory (92 steps to reach 1)

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

4,001,757 12,005,272 6,002,636 3,001,318 1,500,659 4,501,978 2,250,989 6,752,968 3,376,484 1,688,242 844,121 2,532,364 1,266,182 633,091 1,899,274 949,637 2,848,912 1,424,456 712,228 356,114 178,057 534,172 267,086 133,543 400,630 200,315 600,946 300,473 901,420 450,710 225,355 676,066 338,033 1,014,100 507,050 253,525 760,576 380,288 190,144 95,072 47,536 23,768 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232

More profiles

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