λ
Matchaa Zalai

6,974,812

22 × 13 × 113 × 1187
Deficient Even Composite

6,974,812 factors as 2^2 × 13 × 113 × 1187. Its 24 positive divisors give a proper-divisor sum of 6,297,524, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 113 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,272,336
Proper Divisor Sum 6,297,524
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6974809 ← → #6974837

Radix Representation

Decimal 6974812
Binary 11010100110110101011100 (23 bits)
Octal 0o32466534
Hexadecimal 0x6A6D5C

Divisor Catalog (24)

1 2 4 13 26 52 113 226 452 1,187 1,469 2,374 2,938 4,748 5,876 15,431 30,862 61,724 134,131 268,262 536,524 1,743,703 3,487,406 6,974,812

Collatz Trajectory (191 steps to reach 1)

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

6,974,812 3,487,406 1,743,703 5,231,110 2,615,555 7,846,666 3,923,333 11,770,000 5,885,000 2,942,500 1,471,250 735,625 2,206,876 1,103,438 551,719 1,655,158 827,579 2,482,738 1,241,369 3,724,108 1,862,054 931,027 2,793,082 1,396,541 4,189,624 2,094,812 1,047,406 523,703 1,571,110 785,555 2,356,666 1,178,333 3,535,000 1,767,500 883,750 441,875 1,325,626 662,813 1,988,440 994,220 497,110 248,555 745,666 372,833 1,118,500 559,250 279,625 838,876 419,438 209,719 629,158 314,579 943,738 471,869 1,415,608 707,804 353,902 176,951 530,854 265,427

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