λ
Integer Codex

2,404,374

2 × 3 × 7 × 19 × 23 × 131
Abundant Even Composite

For 2,404,374, the 64 positive divisors have a total of 6,082,560. Removing 2,404,374 leaves 3,678,186, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 23 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,082,560
Proper Divisor Sum 3,678,186
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2404357 ← → #2404387

Radix Representation

Decimal 2404374
Binary 1001001011000000010110 (22 bits)
Octal 0o11130026
Hexadecimal 0x24B016

Divisor Catalog (60 of 64)

1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 131 133 138 161 262 266 322 393 399 437 483 786 798 874 917 966 1,311 1,834 2,489 2,622 2,751 3,013 3,059 4,978 5,502 6,026 6,118 7,467 9,039 9,177 14,934 17,423 18,078 18,354 21,091 34,846 42,182 52,269 57,247 63,273 104,538 114,494 126,546 171,741 343,482

Collatz Trajectory (143 steps to reach 1)

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

2,404,374 1,202,187 3,606,562 1,803,281 5,409,844 2,704,922 1,352,461 4,057,384 2,028,692 1,014,346 507,173 1,521,520 760,760 380,380 190,190 95,095 285,286 142,643 427,930 213,965 641,896 320,948 160,474 80,237 240,712 120,356 60,178 30,089 90,268 45,134 22,567 67,702 33,851 101,554 50,777 152,332 76,166 38,083 114,250 57,125 171,376 85,688 42,844 21,422 10,711 32,134 16,067 48,202 24,101 72,304 36,152 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254

More profiles

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