λ
Modular Archive

264,840

23 × 3 × 5 × 2207
Abundant Even Composite

The decimal integer 264,840 is 1000000101010001000 in binary (19 bits), 1005210 in octal and 40A88 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 2207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 794,880
Proper Divisor Sum 530,040
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #264839 ← → #264871

Radix Representation

Decimal 264840
Binary 1000000101010001000 (19 bits)
Octal 0o1005210
Hexadecimal 0x40A88

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2,207 4,414 6,621 8,828 11,035 13,242 17,656 22,070 26,484 33,105 44,140 52,968 66,210 88,280 132,420 264,840

Collatz Trajectory (101 steps to reach 1)

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

264,840 132,420 66,210 33,105 99,316 49,658 24,829 74,488 37,244 18,622 9,311 27,934 13,967 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

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