λ
Modular Archive

6,142,740

22 × 3 × 5 × 37 × 2767
Abundant Even Composite

The decimal integer 6,142,740 is 10111011011101100010100 in binary (23 bits), 27335424 in octal and 5DBB14 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,670,912
Proper Divisor Sum 11,528,172
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6142739 ← → #6142783

Radix Representation

Decimal 6142740
Binary 10111011011101100010100 (23 bits)
Octal 0o27335424
Hexadecimal 0x5DBB14

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 2,220 2,767 5,534 8,301 11,068 13,835 16,602 27,670 33,204 41,505 55,340 83,010 102,379 166,020 204,758 307,137 409,516 511,895 614,274 1,023,790 1,228,548 1,535,685 2,047,580 3,071,370 6,142,740

Collatz Trajectory (196 steps to reach 1)

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

6,142,740 3,071,370 1,535,685 4,607,056 2,303,528 1,151,764 575,882 287,941 863,824 431,912 215,956 107,978 53,989 161,968 80,984 40,492 20,246 10,123 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500

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