λ
Sequence Observatory

7,777,241

7777241
Deficient Odd Prime

Starting at 7,777,241, the Collatz iteration reaches 1 after 93 steps. The first transition is 23331724; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7777241
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,777,242
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7777229 ← → #7777261

Radix Representation

Decimal 7777241
Binary 11101101010101111011001 (23 bits)
Octal 0o35525731
Hexadecimal 0x76ABD9

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

7,777,241 23,331,724 11,665,862 5,832,931 17,498,794 8,749,397 26,248,192 13,124,096 6,562,048 3,281,024 1,640,512 820,256 410,128 205,064 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

More profiles

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