λ
Sequence Observatory

2,193,451

132 × 12979
Deficient Odd Composite

Starting at 2,193,451, the Collatz iteration reaches 1 after 179 steps. The first transition is 6580354; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 12979
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,375,340
Proper Divisor Sum 181,889
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2193449 ← → #2193463

Radix Representation

Decimal 2193451
Binary 1000010111100000101011 (22 bits)
Octal 0o10274053
Hexadecimal 0x21782B

Divisor Catalog (6)

1 13 169 12,979 168,727 2,193,451

Collatz Trajectory (179 steps to reach 1)

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

2,193,451 6,580,354 3,290,177 9,870,532 4,935,266 2,467,633 7,402,900 3,701,450 1,850,725 5,552,176 2,776,088 1,388,044 694,022 347,011 1,041,034 520,517 1,561,552 780,776 390,388 195,194 97,597 292,792 146,396 73,198 36,599 109,798 54,899 164,698 82,349 247,048 123,524 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320

More profiles

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