λ
Sequence Observatory

4,223,519

4223519
Deficient Odd Prime

Starting at 4,223,519, the Collatz iteration reaches 1 after 136 steps. The first transition is 12670558; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4223519
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,223,520
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4223509 ← → #4223521

Radix Representation

Decimal 4223519
Binary 10000000111001000011111 (23 bits)
Octal 0o20071037
Hexadecimal 0x40721F

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,223,519 12,670,558 6,335,279 19,005,838 9,502,919 28,508,758 14,254,379 42,763,138 21,381,569 64,144,708 32,072,354 16,036,177 48,108,532 24,054,266 12,027,133 36,081,400 18,040,700 9,020,350 4,510,175 13,530,526 6,765,263 20,295,790 10,147,895 30,443,686 15,221,843 45,665,530 22,832,765 68,498,296 34,249,148 17,124,574 8,562,287 25,686,862 12,843,431 38,530,294 19,265,147 57,795,442 28,897,721 86,693,164 43,346,582 21,673,291 65,019,874 32,509,937 97,529,812 48,764,906 24,382,453 73,147,360 36,573,680 18,286,840 9,143,420 4,571,710 2,285,855 6,857,566 3,428,783 10,286,350 5,143,175 15,429,526 7,714,763 23,144,290 11,572,145 34,716,436

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