λ
Match Zalai

2,918,367

32 × 43 × 7541
Deficient Odd Composite

2,918,367 factors as 3^2 × 43 × 7541. Its 12 positive divisors give a proper-divisor sum of 1,395,657, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 7541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,314,024
Proper Divisor Sum 1,395,657
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2918359 ← → #2918369

Radix Representation

Decimal 2918367
Binary 1011001000011111011111 (22 bits)
Octal 0o13103737
Hexadecimal 0x2C87DF

Divisor Catalog (12)

1 3 9 43 129 387 7,541 22,623 67,869 324,263 972,789 2,918,367

Collatz Trajectory (174 steps to reach 1)

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

2,918,367 8,755,102 4,377,551 13,132,654 6,566,327 19,698,982 9,849,491 29,548,474 14,774,237 44,322,712 22,161,356 11,080,678 5,540,339 16,621,018 8,310,509 24,931,528 12,465,764 6,232,882 3,116,441 9,349,324 4,674,662 2,337,331 7,011,994 3,505,997 10,517,992 5,258,996 2,629,498 1,314,749 3,944,248 1,972,124 986,062 493,031 1,479,094 739,547 2,218,642 1,109,321 3,327,964 1,663,982 831,991 2,495,974 1,247,987 3,743,962 1,871,981 5,615,944 2,807,972 1,403,986 701,993 2,105,980 1,052,990 526,495 1,579,486 789,743 2,369,230 1,184,615 3,553,846 1,776,923 5,330,770 2,665,385 7,996,156 3,998,078

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