λ
Prime Ledger

7,022,007

32 × 780223
Deficient Odd Composite

7,022,007 has the prime decomposition 3^2 × 780223. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 780223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,142,912
Proper Divisor Sum 3,120,905
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7021999 ← → #7022033

Radix Representation

Decimal 7022007
Binary 11010110010010110110111 (23 bits)
Octal 0o32622667
Hexadecimal 0x6B25B7

Divisor Catalog (6)

1 3 9 780,223 2,340,669 7,022,007

Collatz Trajectory (178 steps to reach 1)

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

7,022,007 21,066,022 10,533,011 31,599,034 15,799,517 47,398,552 23,699,276 11,849,638 5,924,819 17,774,458 8,887,229 26,661,688 13,330,844 6,665,422 3,332,711 9,998,134 4,999,067 14,997,202 7,498,601 22,495,804 11,247,902 5,623,951 16,871,854 8,435,927 25,307,782 12,653,891 37,961,674 18,980,837 56,942,512 28,471,256 14,235,628 7,117,814 3,558,907 10,676,722 5,338,361 16,015,084 8,007,542 4,003,771 12,011,314 6,005,657 18,016,972 9,008,486 4,504,243 13,512,730 6,756,365 20,269,096 10,134,548 5,067,274 2,533,637 7,600,912 3,800,456 1,900,228 950,114 475,057 1,425,172 712,586 356,293 1,068,880 534,440 267,220

More profiles

← Previous Integer #7,022,006 Browse Full Index Next Integer #7,022,008 →