λ
Sequence Observatory

7,267,613

7267613
Deficient Odd Prime

Starting at 7,267,613, the Collatz iteration reaches 1 after 196 steps. The first transition is 21802840; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7267613
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,267,614
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7267597 ← → #7267621

Radix Representation

Decimal 7267613
Binary 11011101110010100011101 (23 bits)
Octal 0o33562435
Hexadecimal 0x6EE51D

Divisor Catalog (2)

Collatz Trajectory (196 steps to reach 1)

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

7,267,613 21,802,840 10,901,420 5,450,710 2,725,355 8,176,066 4,088,033 12,264,100 6,132,050 3,066,025 9,198,076 4,599,038 2,299,519 6,898,558 3,449,279 10,347,838 5,173,919 15,521,758 7,760,879 23,282,638 11,641,319 34,923,958 17,461,979 52,385,938 26,192,969 78,578,908 39,289,454 19,644,727 58,934,182 29,467,091 88,401,274 44,200,637 132,601,912 66,300,956 33,150,478 16,575,239 49,725,718 24,862,859 74,588,578 37,294,289 111,882,868 55,941,434 27,970,717 83,912,152 41,956,076 20,978,038 10,489,019 31,467,058 15,733,529 47,200,588 23,600,294 11,800,147 35,400,442 17,700,221 53,100,664 26,550,332 13,275,166 6,637,583 19,912,750 9,956,375

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