λ
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2,437,176

23 × 3 × 7 × 89 × 163
Abundant Even Composite

2,437,176 factors as 2^3 × 3 × 7 × 89 × 163. Its 64 positive divisors give a proper-divisor sum of 4,647,624, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 89 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,084,800
Proper Divisor Sum 4,647,624
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2437159 ← → #2437177

Radix Representation

Decimal 2437176
Binary 1001010011000000111000 (22 bits)
Octal 0o11230070
Hexadecimal 0x253038

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 163 168 178 267 326 356 489 534 623 652 712 978 1,068 1,141 1,246 1,304 1,869 1,956 2,136 2,282 2,492 3,423 3,738 3,912 4,564 4,984 6,846 7,476 9,128 13,692 14,507 14,952 27,384 29,014 43,521 58,028 87,042 101,549 116,056 174,084 203,098 304,647 348,168 406,196

Collatz Trajectory (112 steps to reach 1)

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

2,437,176 1,218,588 609,294 304,647 913,942 456,971 1,370,914 685,457 2,056,372 1,028,186 514,093 1,542,280 771,140 385,570 192,785 578,356 289,178 144,589 433,768 216,884 108,442 54,221 162,664 81,332 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582

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