λ
Prime Ledger

7,022,393

7 × 1003199
Deficient Odd Composite

7,022,393 has the prime decomposition 7 × 1003199. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1003199
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,025,600
Proper Divisor Sum 1,003,207
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7022371 ← → #7022417

Radix Representation

Decimal 7022393
Binary 11010110010011100111001 (23 bits)
Octal 0o32623471
Hexadecimal 0x6B2739

Divisor Catalog (4)

1 7 1,003,199 7,022,393

Collatz Trajectory (72 steps to reach 1)

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

7,022,393 21,067,180 10,533,590 5,266,795 15,800,386 7,900,193 23,700,580 11,850,290 5,925,145 17,775,436 8,887,718 4,443,859 13,331,578 6,665,789 19,997,368 9,998,684 4,999,342 2,499,671 7,499,014 3,749,507 11,248,522 5,624,261 16,872,784 8,436,392 4,218,196 2,109,098 1,054,549 3,163,648 1,581,824 790,912 395,456 197,728 98,864 49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35

More profiles

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