λ
Prime Ledger

7,092,009

33 × 17 × 15451
Deficient Odd Composite

7,092,009 has the prime decomposition 3^3 × 17 × 15451. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 15451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,125,440
Proper Divisor Sum 4,033,431
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7091999 ← → #7092047

Radix Representation

Decimal 7092009
Binary 11011000011011100101001 (23 bits)
Octal 0o33033451
Hexadecimal 0x6C3729

Divisor Catalog (16)

1 3 9 17 27 51 153 459 15,451 46,353 139,059 262,667 417,177 788,001 2,364,003 7,092,009

Collatz Trajectory (85 steps to reach 1)

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

7,092,009 21,276,028 10,638,014 5,319,007 15,957,022 7,978,511 23,935,534 11,967,767 35,903,302 17,951,651 53,854,954 26,927,477 80,782,432 40,391,216 20,195,608 10,097,804 5,048,902 2,524,451 7,573,354 3,786,677 11,360,032 5,680,016 2,840,008 1,420,004 710,002 355,001 1,065,004 532,502 266,251 798,754 399,377 1,198,132 599,066 299,533 898,600 449,300 224,650 112,325 336,976 168,488 84,244 42,122 21,061 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504

More profiles

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