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Atlas › Integer Profiles › Node 3,317,166

3,317,166

2 × 33 × 47 × 1307
Abundant Even Composite

3,317,166 factors as 2 × 3^3 × 47 × 1307. Its 32 positive divisors give a proper-divisor sum of 4,216,914, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,534,080
Proper Divisor Sum 4,216,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3317147 ← → #3317177

Radix Representation

Decimal 3317166
Binary 1100101001110110101110 (22 bits)
Octal 0o14516656
Hexadecimal 0x329DAE

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 282 423 846 1,269 1,307 2,538 2,614 3,921 7,842 11,763 23,526 35,289 61,429 70,578 122,858 184,287 368,574 552,861 1,105,722 1,658,583 3,317,166

Collatz Trajectory (115 steps to reach 1)

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

3,317,166 1,658,583 4,975,750 2,487,875 7,463,626 3,731,813 11,195,440 5,597,720 2,798,860 1,399,430 699,715 2,099,146 1,049,573 3,148,720 1,574,360 787,180 393,590 196,795 590,386 295,193 885,580 442,790 221,395 664,186 332,093 996,280 498,140 249,070 124,535 373,606 186,803 560,410 280,205 840,616 420,308 210,154 105,077 315,232 157,616 78,808 39,404 19,702 9,851 29,554 14,777 44,332 22,166 11,083 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508

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