λ
Sequence Observatory

2,270,693

2270693
Deficient Odd Prime

Starting at 2,270,693, the Collatz iteration reaches 1 after 254 steps. The first transition is 6812080; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2270693
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,270,694
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2270689 ← → #2270713

Radix Representation

Decimal 2270693
Binary 1000101010010111100101 (22 bits)
Octal 0o10522745
Hexadecimal 0x22A5E5

Divisor Catalog (2)

Collatz Trajectory (254 steps to reach 1)

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

2,270,693 6,812,080 3,406,040 1,703,020 851,510 425,755 1,277,266 638,633 1,915,900 957,950 478,975 1,436,926 718,463 2,155,390 1,077,695 3,233,086 1,616,543 4,849,630 2,424,815 7,274,446 3,637,223 10,911,670 5,455,835 16,367,506 8,183,753 24,551,260 12,275,630 6,137,815 18,413,446 9,206,723 27,620,170 13,810,085 41,430,256 20,715,128 10,357,564 5,178,782 2,589,391 7,768,174 3,884,087 11,652,262 5,826,131 17,478,394 8,739,197 26,217,592 13,108,796 6,554,398 3,277,199 9,831,598 4,915,799 14,747,398 7,373,699 22,121,098 11,060,549 33,181,648 16,590,824 8,295,412 4,147,706 2,073,853 6,221,560 3,110,780

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