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Atlas › Integer Profiles › Node 3,211,236

3,211,236

22 × 32 × 7 × 12743
Abundant Even Composite

3,211,236 factors as 2^2 × 3^2 × 7 × 12743. Its 36 positive divisors give a proper-divisor sum of 6,066,396, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 12743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,277,632
Proper Divisor Sum 6,066,396
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3211213 ← → #3211279

Radix Representation

Decimal 3211236
Binary 1100001111111111100100 (22 bits)
Octal 0o14177744
Hexadecimal 0x30FFE4

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12,743 25,486 38,229 50,972 76,458 89,201 114,687 152,916 178,402 229,374 267,603 356,804 458,748 535,206 802,809 1,070,412 1,605,618 3,211,236

Collatz Trajectory (94 steps to reach 1)

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

3,211,236 1,605,618 802,809 2,408,428 1,204,214 602,107 1,806,322 903,161 2,709,484 1,354,742 677,371 2,032,114 1,016,057 3,048,172 1,524,086 762,043 2,286,130 1,143,065 3,429,196 1,714,598 857,299 2,571,898 1,285,949 3,857,848 1,928,924 964,462 482,231 1,446,694 723,347 2,170,042 1,085,021 3,255,064 1,627,532 813,766 406,883 1,220,650 610,325 1,830,976 915,488 457,744 228,872 114,436 57,218 28,609 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395

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