2,006,972

2² × 11 × 45613

2,006,972 factors as 2^2 × 11 × 45613. Its 12 positive divisors give a proper-divisor sum of 1,824,604, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 45613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,831,576

Proper Divisor Sum 1,824,604

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2006959 ← → #2007001

Radix Representation

Decimal	2006972
Binary	111101001111110111100 (21 bits)
Octal	0o7517674
Hexadecimal	0x1E9FBC

Divisor Catalog (12)

1 2 4 11 22 44 45,613 91,226 182,452 501,743 1,003,486 2,006,972

Collatz Trajectory (91 steps to reach 1)

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

2,006,972 1,003,486 501,743 1,505,230 752,615 2,257,846 1,128,923 3,386,770 1,693,385 5,080,156 2,540,078 1,270,039 3,810,118 1,905,059 5,715,178 2,857,589 8,572,768 4,286,384 2,143,192 1,071,596 535,798 267,899 803,698 401,849 1,205,548 602,774 301,387 904,162 452,081 1,356,244 678,122 339,061 1,017,184 508,592 254,296 127,148 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,006,971 Browse Full Index Next Integer #2,006,973 →