λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,043,932

42,043,932

22 × 32 × 7 × 166841
Abundant Even Composite

42,043,932 factors as 2^2 × 3^2 × 7 × 166841. Its 36 positive divisors give a proper-divisor sum of 79,417,044, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 166841
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 121,460,976
Proper Divisor Sum 79,417,044
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42043921 ← → #42043933

Radix Representation

Decimal 42043932
Binary 10100000011000101000011100 (26 bits)
Octal 0o240305034
Hexadecimal 0x2818A1C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 166,841 333,682 500,523 667,364 1,001,046 1,167,887 1,501,569 2,002,092 2,335,774 3,003,138 3,503,661 4,671,548 6,006,276 7,007,322 10,510,983 14,014,644 21,021,966 42,043,932

Collatz Trajectory (72 steps to reach 1)

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

42,043,932 21,021,966 10,510,983 31,532,950 15,766,475 47,299,426 23,649,713 70,949,140 35,474,570 17,737,285 53,211,856 26,605,928 13,302,964 6,651,482 3,325,741 9,977,224 4,988,612 2,494,306 1,247,153 3,741,460 1,870,730 935,365 2,806,096 1,403,048 701,524 350,762 175,381 526,144 263,072 131,536 65,768 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #42,043,931 Browse Full Index Next Integer #42,043,933 →