λ
Integer Codex

6,331,073

7 × 829 × 1091
Deficient Odd Composite

For 6,331,073, the 8 positive divisors have a total of 7,250,880. Removing 6,331,073 leaves 919,807, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 829 × 1091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,250,880
Proper Divisor Sum 919,807
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6331069 ← → #6331081

Radix Representation

Decimal 6331073
Binary 11000001001101011000001 (23 bits)
Octal 0o30115301
Hexadecimal 0x609AC1

Divisor Catalog (8)

1 7 829 1,091 5,803 7,637 904,439 6,331,073

Collatz Trajectory (165 steps to reach 1)

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

6,331,073 18,993,220 9,496,610 4,748,305 14,244,916 7,122,458 3,561,229 10,683,688 5,341,844 2,670,922 1,335,461 4,006,384 2,003,192 1,001,596 500,798 250,399 751,198 375,599 1,126,798 563,399 1,690,198 845,099 2,535,298 1,267,649 3,802,948 1,901,474 950,737 2,852,212 1,426,106 713,053 2,139,160 1,069,580 534,790 267,395 802,186 401,093 1,203,280 601,640 300,820 150,410 75,205 225,616 112,808 56,404 28,202 14,101 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31

More profiles

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