λ
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2,137,014

2 × 32 × 11 × 43 × 251
Abundant Even Composite

2,137,014 factors as 2 × 3^2 × 11 × 43 × 251. Its 48 positive divisors give a proper-divisor sum of 3,052,170, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 43 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,189,184
Proper Divisor Sum 3,052,170
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2136997 ← → #2137021

Radix Representation

Decimal 2137014
Binary 1000001001101110110110 (22 bits)
Octal 0o10115666
Hexadecimal 0x209BB6

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 251 258 387 473 502 753 774 946 1,419 1,506 2,259 2,761 2,838 4,257 4,518 5,522 8,283 8,514 10,793 16,566 21,586 24,849 32,379 49,698 64,758 97,137 118,723 194,274 237,446 356,169 712,338 1,068,507 2,137,014

Collatz Trajectory (78 steps to reach 1)

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

2,137,014 1,068,507 3,205,522 1,602,761 4,808,284 2,404,142 1,202,071 3,606,214 1,803,107 5,409,322 2,704,661 8,113,984 4,056,992 2,028,496 1,014,248 507,124 253,562 126,781 380,344 190,172 95,086 47,543 142,630 71,315 213,946 106,973 320,920 160,460 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261

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