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Atlas › Integer Profiles › Node 2,336,718

2,336,718

2 × 3 × 17 × 31 × 739
Abundant Even Composite

2,336,718 factors as 2 × 3 × 17 × 31 × 739. Its 32 positive divisors give a proper-divisor sum of 2,778,162, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,114,880
Proper Divisor Sum 2,778,162
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2336707 ← → #2336743

Radix Representation

Decimal 2336718
Binary 1000111010011111001110 (22 bits)
Octal 0o10723716
Hexadecimal 0x23A7CE

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 527 739 1,054 1,478 1,581 2,217 3,162 4,434 12,563 22,909 25,126 37,689 45,818 68,727 75,378 137,454 389,453 778,906 1,168,359 2,336,718

Collatz Trajectory (130 steps to reach 1)

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

2,336,718 1,168,359 3,505,078 1,752,539 5,257,618 2,628,809 7,886,428 3,943,214 1,971,607 5,914,822 2,957,411 8,872,234 4,436,117 13,308,352 6,654,176 3,327,088 1,663,544 831,772 415,886 207,943 623,830 311,915 935,746 467,873 1,403,620 701,810 350,905 1,052,716 526,358 263,179 789,538 394,769 1,184,308 592,154 296,077 888,232 444,116 222,058 111,029 333,088 166,544 83,272 41,636 20,818 10,409 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937

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