λ
Zalai Atlas

3,111,431

3111431
Deficient Odd Prime

3,111,431 has the prime decomposition 3111431. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3111431
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,111,432
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3111419 ← → #3111457

Radix Representation

Decimal 3111431
Binary 1011110111101000000111 (22 bits)
Octal 0o13675007
Hexadecimal 0x2F7A07

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

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

3,111,431 9,334,294 4,667,147 14,001,442 7,000,721 21,002,164 10,501,082 5,250,541 15,751,624 7,875,812 3,937,906 1,968,953 5,906,860 2,953,430 1,476,715 4,430,146 2,215,073 6,645,220 3,322,610 1,661,305 4,983,916 2,491,958 1,245,979 3,737,938 1,868,969 5,606,908 2,803,454 1,401,727 4,205,182 2,102,591 6,307,774 3,153,887 9,461,662 4,730,831 14,192,494 7,096,247 21,288,742 10,644,371 31,933,114 15,966,557 47,899,672 23,949,836 11,974,918 5,987,459 17,962,378 8,981,189 26,943,568 13,471,784 6,735,892 3,367,946 1,683,973 5,051,920 2,525,960 1,262,980 631,490 315,745 947,236 473,618 236,809 710,428

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