λ
Sigma Notebook

7,202,177

7202177
Deficient Odd Prime

7,202,177 is odd and not a perfect square. Its factorization is 7202177 and its 2 divisors sum to 7,202,178.

Prime Factor Structure

Factorization String 7202177
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,202,178
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7202149 ← → #7202201

Radix Representation

Decimal 7202177
Binary 11011011110010110000001 (23 bits)
Octal 0o33362601
Hexadecimal 0x6DE581

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

7,202,177 21,606,532 10,803,266 5,401,633 16,204,900 8,102,450 4,051,225 12,153,676 6,076,838 3,038,419 9,115,258 4,557,629 13,672,888 6,836,444 3,418,222 1,709,111 5,127,334 2,563,667 7,691,002 3,845,501 11,536,504 5,768,252 2,884,126 1,442,063 4,326,190 2,163,095 6,489,286 3,244,643 9,733,930 4,866,965 14,600,896 7,300,448 3,650,224 1,825,112 912,556 456,278 228,139 684,418 342,209 1,026,628 513,314 256,657 769,972 384,986 192,493 577,480 288,740 144,370 72,185 216,556 108,278 54,139 162,418 81,209 243,628 121,814 60,907 182,722 91,361 274,084

More profiles

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