2,155,104

2⁵ × 3² × 7 × 1069

2,155,104 factors as 2^5 × 3^2 × 7 × 1069. Its 72 positive divisors give a proper-divisor sum of 4,855,536, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,010,640

Proper Divisor Sum 4,855,536

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2155103 ← → #2155121

Radix Representation

Decimal	2155104
Binary	1000001110001001100000 (22 bits)
Octal	0o10161140
Hexadecimal	0x20E260

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 1,069 2,016 2,138 3,207 4,276 6,414 7,483 8,552 9,621 12,828 14,966 17,104 19,242 22,449 25,656 29,932 34,208 38,484 44,898 51,312 59,864 67,347 76,968 89,796 102,624

Collatz Trajectory (104 steps to reach 1)

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

2,155,104 1,077,552 538,776 269,388 134,694 67,347 202,042 101,021 303,064 151,532 75,766 37,883 113,650 56,825 170,476 85,238 42,619 127,858 63,929 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,155,103 Browse Full Index Next Integer #2,155,105 →