λ
Prime Ledger

2,373,876

22 × 32 × 23 × 47 × 61
Abundant Even Composite

2,373,876 has the prime decomposition 2^2 × 3^2 × 23 × 47 × 61. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 47 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,499,584
Proper Divisor Sum 4,125,708
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2373869 ← → #2373893

Radix Representation

Decimal 2373876
Binary 1001000011100011110100 (22 bits)
Octal 0o11034364
Hexadecimal 0x2438F4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 36 46 47 61 69 92 94 122 138 141 183 188 207 244 276 282 366 414 423 549 564 732 828 846 1,081 1,098 1,403 1,692 2,162 2,196 2,806 2,867 3,243 4,209 4,324 5,612 5,734 6,486 8,418 8,601 9,729 11,468 12,627 12,972 16,836 17,202 19,458 25,254 25,803 34,404 38,916

Collatz Trajectory (99 steps to reach 1)

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

2,373,876 1,186,938 593,469 1,780,408 890,204 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512

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