λ
Prime Ledger

7,090,227

33 × 31 × 43 × 197
Deficient Odd Composite

7,090,227 has the prime decomposition 3^3 × 31 × 43 × 197. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 31 × 43 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,151,360
Proper Divisor Sum 4,061,133
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7090219 ← → #7090229

Radix Representation

Decimal 7090227
Binary 11011000011000000110011 (23 bits)
Octal 0o33030063
Hexadecimal 0x6C3033

Divisor Catalog (32)

1 3 9 27 31 43 93 129 197 279 387 591 837 1,161 1,333 1,773 3,999 5,319 6,107 8,471 11,997 18,321 25,413 35,991 54,963 76,239 164,889 228,717 262,601 787,803 2,363,409 7,090,227

Collatz Trajectory (67 steps to reach 1)

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

7,090,227 21,270,682 10,635,341 31,906,024 15,953,012 7,976,506 3,988,253 11,964,760 5,982,380 2,991,190 1,495,595 4,486,786 2,243,393 6,730,180 3,365,090 1,682,545 5,047,636 2,523,818 1,261,909 3,785,728 1,892,864 946,432 473,216 236,608 118,304 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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