λ
Ratio Atlas

1,205,910

2 × 32 × 5 × 13399
Abundant Even Composite

1,205,910 factors as 2 × 3^2 × 5 × 13399. Its 24 positive divisors give a proper-divisor sum of 1,929,690, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,135,600
Proper Divisor Sum 1,929,690
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1205903 ← → #1205921

Radix Representation

Decimal 1205910
Binary 100100110011010010110 (21 bits)
Octal 0o4463226
Hexadecimal 0x126696

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 13,399 26,798 40,197 66,995 80,394 120,591 133,990 200,985 241,182 401,970 602,955 1,205,910

Collatz Trajectory (98 steps to reach 1)

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

1,205,910 602,955 1,808,866 904,433 2,713,300 1,356,650 678,325 2,034,976 1,017,488 508,744 254,372 127,186 63,593 190,780 95,390 47,695 143,086 71,543 214,630 107,315 321,946 160,973 482,920 241,460 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651

More profiles

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