λ
Sequence Observatory

7,522,351

7522351
Deficient Odd Prime

Starting at 7,522,351, the Collatz iteration reaches 1 after 186 steps. The first transition is 22567054; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7522351
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,522,352
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7522331 ← → #7522363

Radix Representation

Decimal 7522351
Binary 11100101100100000101111 (23 bits)
Octal 0o34544057
Hexadecimal 0x72C82F

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

7,522,351 22,567,054 11,283,527 33,850,582 16,925,291 50,775,874 25,387,937 76,163,812 38,081,906 19,040,953 57,122,860 28,561,430 14,280,715 42,842,146 21,421,073 64,263,220 32,131,610 16,065,805 48,197,416 24,098,708 12,049,354 6,024,677 18,074,032 9,037,016 4,518,508 2,259,254 1,129,627 3,388,882 1,694,441 5,083,324 2,541,662 1,270,831 3,812,494 1,906,247 5,718,742 2,859,371 8,578,114 4,289,057 12,867,172 6,433,586 3,216,793 9,650,380 4,825,190 2,412,595 7,237,786 3,618,893 10,856,680 5,428,340 2,714,170 1,357,085 4,071,256 2,035,628 1,017,814 508,907 1,526,722 763,361 2,290,084 1,145,042 572,521 1,717,564

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