λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,080,950

17,080,950

2 × 3 × 52 × 23 × 4951
Abundant Even Composite

17,080,950 factors as 2 × 3 × 5^2 × 23 × 4951. Its 48 positive divisors give a proper-divisor sum of 27,130,506, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 23 × 4951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,211,456
Proper Divisor Sum 27,130,506
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17080949 ← → #17080957

Radix Representation

Decimal 17080950
Binary 1000001001010001001110110 (25 bits)
Octal 0o101121166
Hexadecimal 0x104A276

Divisor Catalog (48)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1,150 1,725 3,450 4,951 9,902 14,853 24,755 29,706 49,510 74,265 113,873 123,775 148,530 227,746 247,550 341,619 371,325 569,365 683,238 742,650 1,138,730 1,708,095 2,846,825 3,416,190 5,693,650 8,540,475 17,080,950

Collatz Trajectory (99 steps to reach 1)

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

17,080,950 8,540,475 25,621,426 12,810,713 38,432,140 19,216,070 9,608,035 28,824,106 14,412,053 43,236,160 21,618,080 10,809,040 5,404,520 2,702,260 1,351,130 675,565 2,026,696 1,013,348 506,674 253,337 760,012 380,006 190,003 570,010 285,005 855,016 427,508 213,754 106,877 320,632 160,316 80,158 40,079 120,238 60,119 180,358 90,179 270,538 135,269 405,808 202,904 101,452 50,726 25,363 76,090 38,045 114,136 57,068 28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,080,949 Browse Full Index Next Integer #17,080,951 →