λ
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2,310,678

2 × 32 × 31 × 41 × 101
Abundant Even Composite

2,310,678 factors as 2 × 3^2 × 31 × 41 × 101. Its 48 positive divisors give a proper-divisor sum of 3,035,754, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 41 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,346,432
Proper Divisor Sum 3,035,754
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2310677 ← → #2310689

Radix Representation

Decimal 2310678
Binary 1000110100001000010110 (22 bits)
Octal 0o10641026
Hexadecimal 0x234216

Divisor Catalog (48)

1 2 3 6 9 18 31 41 62 82 93 101 123 186 202 246 279 303 369 558 606 738 909 1,271 1,818 2,542 3,131 3,813 4,141 6,262 7,626 8,282 9,393 11,439 12,423 18,786 22,878 24,846 28,179 37,269 56,358 74,538 128,371 256,742 385,113 770,226 1,155,339 2,310,678

Collatz Trajectory (73 steps to reach 1)

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

2,310,678 1,155,339 3,466,018 1,733,009 5,199,028 2,599,514 1,299,757 3,899,272 1,949,636 974,818 487,409 1,462,228 731,114 365,557 1,096,672 548,336 274,168 137,084 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68

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