2,143,008

2⁵ × 3² × 7 × 1063

2,143,008 factors as 2^5 × 3^2 × 7 × 1063. Its 72 positive divisors give a proper-divisor sum of 4,828,320, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 1063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,971,328

Proper Divisor Sum 4,828,320

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2142971 ← → #2143019

Radix Representation

Decimal	2143008
Binary	1000001011001100100000 (22 bits)
Octal	0o10131440
Hexadecimal	0x20B320

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 1,063 2,016 2,126 3,189 4,252 6,378 7,441 8,504 9,567 12,756 14,882 17,008 19,134 22,323 25,512 29,764 34,016 38,268 44,646 51,024 59,528 66,969 76,536 89,292 102,048

Collatz Trajectory (117 steps to reach 1)

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

2,143,008 1,071,504 535,752 267,876 133,938 66,969 200,908 100,454 50,227 150,682 75,341 226,024 113,012 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #2,143,007 Browse Full Index Next Integer #2,143,009 →