λ
Match Zalai

8,362,749

3 × 2787583
Deficient Odd Composite

8,362,749 factors as 3 × 2787583. Its 4 positive divisors give a proper-divisor sum of 2,787,587, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 2787583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,150,336
Proper Divisor Sum 2,787,587
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8362747 ← → #8362751

Radix Representation

Decimal 8362749
Binary 11111111001101011111101 (23 bits)
Octal 0o37715375
Hexadecimal 0x7F9AFD

Divisor Catalog (4)

1 3 2,787,583 8,362,749

Collatz Trajectory (137 steps to reach 1)

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

8,362,749 25,088,248 12,544,124 6,272,062 3,136,031 9,408,094 4,704,047 14,112,142 7,056,071 21,168,214 10,584,107 31,752,322 15,876,161 47,628,484 23,814,242 11,907,121 35,721,364 17,860,682 8,930,341 26,791,024 13,395,512 6,697,756 3,348,878 1,674,439 5,023,318 2,511,659 7,534,978 3,767,489 11,302,468 5,651,234 2,825,617 8,476,852 4,238,426 2,119,213 6,357,640 3,178,820 1,589,410 794,705 2,384,116 1,192,058 596,029 1,788,088 894,044 447,022 223,511 670,534 335,267 1,005,802 502,901 1,508,704 754,352 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041

More profiles

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