λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,182,328

1,182,328

23 × 7 × 43 × 491
Abundant Even Composite

1,182,328 factors as 2^3 × 7 × 43 × 491. Its 32 positive divisors give a proper-divisor sum of 1,415,432, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 43 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,597,760
Proper Divisor Sum 1,415,432
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1182289 ← → #1182331

Radix Representation

Decimal 1182328
Binary 100100000101001111000 (21 bits)
Octal 0o4405170
Hexadecimal 0x120A78

Divisor Catalog (32)

1 2 4 7 8 14 28 43 56 86 172 301 344 491 602 982 1,204 1,964 2,408 3,437 3,928 6,874 13,748 21,113 27,496 42,226 84,452 147,791 168,904 295,582 591,164 1,182,328

Collatz Trajectory (222 steps to reach 1)

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

1,182,328 591,164 295,582 147,791 443,374 221,687 665,062 332,531 997,594 498,797 1,496,392 748,196 374,098 187,049 561,148 280,574 140,287 420,862 210,431 631,294 315,647 946,942 473,471 1,420,414 710,207 2,130,622 1,065,311 3,195,934 1,597,967 4,793,902 2,396,951 7,190,854 3,595,427 10,786,282 5,393,141 16,179,424 8,089,712 4,044,856 2,022,428 1,011,214 505,607 1,516,822 758,411 2,275,234 1,137,617 3,412,852 1,706,426 853,213 2,559,640 1,279,820 639,910 319,955 959,866 479,933 1,439,800 719,900 359,950 179,975 539,926 269,963

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 #1,182,327 Browse Full Index Next Integer #1,182,329 →