λ
Sequence Observatory

5,431,822

2 × 11 × 37 × 6673
Deficient Even Composite

Starting at 5,431,822, the Collatz iteration reaches 1 after 113 steps. The first transition is 2715911; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 6673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,130,032
Proper Divisor Sum 3,698,210
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5431819 ← → #5431831

Radix Representation

Decimal 5431822
Binary 10100101110001000001110 (23 bits)
Octal 0o24561016
Hexadecimal 0x52E20E

Divisor Catalog (16)

1 2 11 22 37 74 407 814 6,673 13,346 73,403 146,806 246,901 493,802 2,715,911 5,431,822

Collatz Trajectory (113 steps to reach 1)

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

5,431,822 2,715,911 8,147,734 4,073,867 12,221,602 6,110,801 18,332,404 9,166,202 4,583,101 13,749,304 6,874,652 3,437,326 1,718,663 5,155,990 2,577,995 7,733,986 3,866,993 11,600,980 5,800,490 2,900,245 8,700,736 4,350,368 2,175,184 1,087,592 543,796 271,898 135,949 407,848 203,924 101,962 50,981 152,944 76,472 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958

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