λ
Prime Ledger

2,437,434

2 × 32 × 19 × 7127
Abundant Even Composite

2,437,434 has the prime decomposition 2 × 3^2 × 19 × 7127. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 7127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,559,840
Proper Divisor Sum 3,122,406
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2437429 ← → #2437441

Radix Representation

Decimal 2437434
Binary 1001010011000100111010 (22 bits)
Octal 0o11230472
Hexadecimal 0x25313A

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 7,127 14,254 21,381 42,762 64,143 128,286 135,413 270,826 406,239 812,478 1,218,717 2,437,434

Collatz Trajectory (205 steps to reach 1)

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

2,437,434 1,218,717 3,656,152 1,828,076 914,038 457,019 1,371,058 685,529 2,056,588 1,028,294 514,147 1,542,442 771,221 2,313,664 1,156,832 578,416 289,208 144,604 72,302 36,151 108,454 54,227 162,682 81,341 244,024 122,012 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060 185,530 92,765

More profiles

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