λ
Sequence Observatory

7,020,921

3 × 73 × 32059
Deficient Odd Composite

Starting at 7,020,921, the Collatz iteration reaches 1 after 191 steps. The first transition is 21062764; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 73 × 32059
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,489,760
Proper Divisor Sum 2,468,839
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7020913 ← → #7020931

Radix Representation

Decimal 7020921
Binary 11010110010000101111001 (23 bits)
Octal 0o32620571
Hexadecimal 0x6B2179

Divisor Catalog (8)

1 3 73 219 32,059 96,177 2,340,307 7,020,921

Collatz Trajectory (191 steps to reach 1)

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

7,020,921 21,062,764 10,531,382 5,265,691 15,797,074 7,898,537 23,695,612 11,847,806 5,923,903 17,771,710 8,885,855 26,657,566 13,328,783 39,986,350 19,993,175 59,979,526 29,989,763 89,969,290 44,984,645 134,953,936 67,476,968 33,738,484 16,869,242 8,434,621 25,303,864 12,651,932 6,325,966 3,162,983 9,488,950 4,744,475 14,233,426 7,116,713 21,350,140 10,675,070 5,337,535 16,012,606 8,006,303 24,018,910 12,009,455 36,028,366 18,014,183 54,042,550 27,021,275 81,063,826 40,531,913 121,595,740 60,797,870 30,398,935 91,196,806 45,598,403 136,795,210 68,397,605 205,192,816 102,596,408 51,298,204 25,649,102 12,824,551 38,473,654 19,236,827 57,710,482

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