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Atlas › Integer Profiles › Node 2,170,308

2,170,308

22 × 3 × 72 × 3691
Abundant Even Composite

2,170,308 factors as 2^2 × 3 × 7^2 × 3691. Its 36 positive divisors give a proper-divisor sum of 3,722,124, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 3691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,892,432
Proper Divisor Sum 3,722,124
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2170307 ← → #2170321

Radix Representation

Decimal 2170308
Binary 1000010001110111000100 (22 bits)
Octal 0o10216704
Hexadecimal 0x211DC4

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 3,691 7,382 11,073 14,764 22,146 25,837 44,292 51,674 77,511 103,348 155,022 180,859 310,044 361,718 542,577 723,436 1,085,154 2,170,308

Collatz Trajectory (91 steps to reach 1)

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

2,170,308 1,085,154 542,577 1,627,732 813,866 406,933 1,220,800 610,400 305,200 152,600 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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