λ
Sequence Observatory

2,762,843

653 × 4231
Deficient Odd Composite

Starting at 2,762,843, the Collatz iteration reaches 1 after 218 steps. The first transition is 8288530; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 653 × 4231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,767,728
Proper Divisor Sum 4,885
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2762839 ← → #2762849

Radix Representation

Decimal 2762843
Binary 1010100010100001011011 (22 bits)
Octal 0o12424133
Hexadecimal 0x2A285B

Divisor Catalog (4)

1 653 4,231 2,762,843

Collatz Trajectory (218 steps to reach 1)

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

2,762,843 8,288,530 4,144,265 12,432,796 6,216,398 3,108,199 9,324,598 4,662,299 13,986,898 6,993,449 20,980,348 10,490,174 5,245,087 15,735,262 7,867,631 23,602,894 11,801,447 35,404,342 17,702,171 53,106,514 26,553,257 79,659,772 39,829,886 19,914,943 59,744,830 29,872,415 89,617,246 44,808,623 134,425,870 67,212,935 201,638,806 100,819,403 302,458,210 151,229,105 453,687,316 226,843,658 113,421,829 340,265,488 170,132,744 85,066,372 42,533,186 21,266,593 63,799,780 31,899,890 15,949,945 47,849,836 23,924,918 11,962,459 35,887,378 17,943,689 53,831,068 26,915,534 13,457,767 40,373,302 20,186,651 60,559,954 30,279,977 90,839,932 45,419,966 22,709,983

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