λ
Modular Archive

7,167,181

72 × 107 × 1367
Deficient Odd Composite

The decimal integer 7,167,181 is 11011010101110011001101 in binary (23 bits), 33256315 in octal and 6D5CCD in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 7^2 × 107 × 1367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,421,408
Proper Divisor Sum 1,254,227
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7167163 ← → #7167187

Radix Representation

Decimal 7167181
Binary 11011010101110011001101 (23 bits)
Octal 0o33256315
Hexadecimal 0x6D5CCD

Divisor Catalog (12)

1 7 49 107 749 1,367 5,243 9,569 66,983 146,269 1,023,883 7,167,181

Collatz Trajectory (98 steps to reach 1)

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

7,167,181 21,501,544 10,750,772 5,375,386 2,687,693 8,063,080 4,031,540 2,015,770 1,007,885 3,023,656 1,511,828 755,914 377,957 1,133,872 566,936 283,468 141,734 70,867 212,602 106,301 318,904 159,452 79,726 39,863 119,590 59,795 179,386 89,693 269,080 134,540 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211

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