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Atlas › Integer Profiles › Node 1,355,670

1,355,670

2 × 33 × 5 × 5021
Abundant Even Composite

1,355,670 factors as 2 × 3^3 × 5 × 5021. Its 32 positive divisors give a proper-divisor sum of 2,260,170, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 5021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,615,840
Proper Divisor Sum 2,260,170
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1355659 ← → #1355677

Radix Representation

Decimal 1355670
Binary 101001010111110010110 (21 bits)
Octal 0o5127626
Hexadecimal 0x14AF96

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5,021 10,042 15,063 25,105 30,126 45,189 50,210 75,315 90,378 135,567 150,630 225,945 271,134 451,890 677,835 1,355,670

Collatz Trajectory (137 steps to reach 1)

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

1,355,670 677,835 2,033,506 1,016,753 3,050,260 1,525,130 762,565 2,287,696 1,143,848 571,924 285,962 142,981 428,944 214,472 107,236 53,618 26,809 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

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