λ
Sigma Notebook

4,761,337

7 × 167 × 4073
Deficient Odd Composite

4,761,337 is odd and not a perfect square. Its factorization is 7 × 167 × 4073 and its 8 divisors sum to 5,475,456.

Prime Factor Structure

Factorization String 7 × 167 × 4073
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,475,456
Proper Divisor Sum 714,119
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4761329 ← → #4761349

Radix Representation

Decimal 4761337
Binary 10010001010011011111001 (23 bits)
Octal 0o22123371
Hexadecimal 0x48A6F9

Divisor Catalog (8)

1 7 167 1,169 4,073 28,511 680,191 4,761,337

Collatz Trajectory (144 steps to reach 1)

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

4,761,337 14,284,012 7,142,006 3,571,003 10,713,010 5,356,505 16,069,516 8,034,758 4,017,379 12,052,138 6,026,069 18,078,208 9,039,104 4,519,552 2,259,776 1,129,888 564,944 282,472 141,236 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038

More profiles

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