λ
Match Zalai

5,277,989

1072 × 461
Deficient Odd Composite

5,277,989 factors as 107^2 × 461. Its 6 positive divisors give a proper-divisor sum of 61,345, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 107^2 × 461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,339,334
Proper Divisor Sum 61,345
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5277983 ← → #5278001

Radix Representation

Decimal 5277989
Binary 10100001000100100100101 (23 bits)
Octal 0o24104445
Hexadecimal 0x508925

Divisor Catalog (6)

1 107 461 11,449 49,327 5,277,989

Collatz Trajectory (126 steps to reach 1)

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

5,277,989 15,833,968 7,916,984 3,958,492 1,979,246 989,623 2,968,870 1,484,435 4,453,306 2,226,653 6,679,960 3,339,980 1,669,990 834,995 2,504,986 1,252,493 3,757,480 1,878,740 939,370 469,685 1,409,056 704,528 352,264 176,132 88,066 44,033 132,100 66,050 33,025 99,076 49,538 24,769 74,308 37,154 18,577 55,732 27,866 13,933 41,800 20,900 10,450 5,225 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582

More profiles

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