λ
Ratio Atlas

8,113,921

2311 × 3511
Deficient Odd Composite

8,113,921 factors as 2311 × 3511. Its 4 positive divisors give a proper-divisor sum of 5,823, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2311 × 3511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,119,744
Proper Divisor Sum 5,823
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8113883 ← → #8113927

Radix Representation

Decimal 8113921
Binary 11110111100111100000001 (23 bits)
Octal 0o36747401
Hexadecimal 0x7BCF01

Divisor Catalog (4)

1 2,311 3,511 8,113,921

Collatz Trajectory (67 steps to reach 1)

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

8,113,921 24,341,764 12,170,882 6,085,441 18,256,324 9,128,162 4,564,081 13,692,244 6,846,122 3,423,061 10,269,184 5,134,592 2,567,296 1,283,648 641,824 320,912 160,456 80,228 40,114 20,057 60,172 30,086 15,043 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40

More profiles

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