λ
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2,432,276

22 × 7 × 11 × 53 × 149
Abundant Even Composite

2,432,276 factors as 2^2 × 7 × 11 × 53 × 149. Its 48 positive divisors give a proper-divisor sum of 3,010,924, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 53 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,443,200
Proper Divisor Sum 3,010,924
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2432267 ← → #2432279

Radix Representation

Decimal 2432276
Binary 1001010001110100010100 (22 bits)
Octal 0o11216424
Hexadecimal 0x251D14

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 53 77 106 149 154 212 298 308 371 583 596 742 1,043 1,166 1,484 1,639 2,086 2,332 3,278 4,081 4,172 6,556 7,897 8,162 11,473 15,794 16,324 22,946 31,588 45,892 55,279 86,867 110,558 173,734 221,116 347,468 608,069 1,216,138 2,432,276

Collatz Trajectory (60 steps to reach 1)

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

2,432,276 1,216,138 608,069 1,824,208 912,104 456,052 228,026 114,013 342,040 171,020 85,510 42,755 128,266 64,133 192,400 96,200 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2

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