λ
Sequence Observatory

7,301,930

2 × 5 × 191 × 3823
Deficient Even Composite

Starting at 7,301,930, the Collatz iteration reaches 1 after 67 steps. The first transition is 3650965; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 191 × 3823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,215,744
Proper Divisor Sum 5,913,814
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7301929 ← → #7301933

Radix Representation

Decimal 7301930
Binary 11011110110101100101010 (23 bits)
Octal 0o33665452
Hexadecimal 0x6F6B2A

Divisor Catalog (16)

1 2 5 10 191 382 955 1,910 3,823 7,646 19,115 38,230 730,193 1,460,386 3,650,965 7,301,930

Collatz Trajectory (67 steps to reach 1)

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

7,301,930 3,650,965 10,952,896 5,476,448 2,738,224 1,369,112 684,556 342,278 171,139 513,418 256,709 770,128 385,064 192,532 96,266 48,133 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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