λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,598,328

32,598,328

23 × 72 × 137 × 607
Abundant Even Composite

32,598,328 factors as 2^3 × 7^2 × 137 × 607. Its 48 positive divisors give a proper-divisor sum of 39,139,592, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 137 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,737,920
Proper Divisor Sum 39,139,592
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #32598311 ← → #32598341

Radix Representation

Decimal 32598328
Binary 1111100010110100100111000 (25 bits)
Octal 0o174264470
Hexadecimal 0x1F16938

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 607 959 1,096 1,214 1,918 2,428 3,836 4,249 4,856 6,713 7,672 8,498 13,426 16,996 26,852 29,743 33,992 53,704 59,486 83,159 118,972 166,318 237,944 332,636 582,113 665,272 1,164,226 2,328,452 4,074,791 4,656,904 8,149,582 16,299,164 32,598,328

Collatz Trajectory (219 steps to reach 1)

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

32,598,328 16,299,164 8,149,582 4,074,791 12,224,374 6,112,187 18,336,562 9,168,281 27,504,844 13,752,422 6,876,211 20,628,634 10,314,317 30,942,952 15,471,476 7,735,738 3,867,869 11,603,608 5,801,804 2,900,902 1,450,451 4,351,354 2,175,677 6,527,032 3,263,516 1,631,758 815,879 2,447,638 1,223,819 3,671,458 1,835,729 5,507,188 2,753,594 1,376,797 4,130,392 2,065,196 1,032,598 516,299 1,548,898 774,449 2,323,348 1,161,674 580,837 1,742,512 871,256 435,628 217,814 108,907 326,722 163,361 490,084 245,042 122,521 367,564 183,782 91,891 275,674 137,837 413,512 206,756

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 #32,598,327 Browse Full Index Next Integer #32,598,329 →