λ
Prime Ledger

2,641,240

23 × 5 × 7 × 9433
Abundant Even Composite

2,641,240 has the prime decomposition 2^3 × 5 × 7 × 9433. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 9433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,792,480
Proper Divisor Sum 4,151,240
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2641237 ← → #2641277

Radix Representation

Decimal 2641240
Binary 1010000100110101011000 (22 bits)
Octal 0o12046530
Hexadecimal 0x284D58

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9,433 18,866 37,732 47,165 66,031 75,464 94,330 132,062 188,660 264,124 330,155 377,320 528,248 660,310 1,320,620 2,641,240

Collatz Trajectory (187 steps to reach 1)

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

2,641,240 1,320,620 660,310 330,155 990,466 495,233 1,485,700 742,850 371,425 1,114,276 557,138 278,569 835,708 417,854 208,927 626,782 313,391 940,174 470,087 1,410,262 705,131 2,115,394 1,057,697 3,173,092 1,586,546 793,273 2,379,820 1,189,910 594,955 1,784,866 892,433 2,677,300 1,338,650 669,325 2,007,976 1,003,988 501,994 250,997 752,992 376,496 188,248 94,124 47,062 23,531 70,594 35,297 105,892 52,946 26,473 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520

More profiles

← Previous Integer #2,641,239 Browse Full Index Next Integer #2,641,241 →