λ
Prime Ledger

2,630,448

24 × 33 × 6089
Abundant Even Composite

2,630,448 has the prime decomposition 2^4 × 3^3 × 6089. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 6089
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,551,600
Proper Divisor Sum 4,921,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2630447 ← → #2630471

Radix Representation

Decimal 2630448
Binary 1010000010001100110000 (22 bits)
Octal 0o12021460
Hexadecimal 0x282330

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6,089 12,178 18,267 24,356 36,534 48,712 54,801 73,068 97,424 109,602 146,136 164,403 219,204 292,272 328,806 438,408 657,612 876,816 1,315,224 2,630,448

Collatz Trajectory (143 steps to reach 1)

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

2,630,448 1,315,224 657,612 328,806 164,403 493,210 246,605 739,816 369,908 184,954 92,477 277,432 138,716 69,358 34,679 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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