λ
Prime Ledger

490,540

22 × 5 × 24527
Abundant Even Composite

490,540 has the prime decomposition 2^2 × 5 × 24527. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 24527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,030,176
Proper Divisor Sum 539,636
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #490537 ← → #490541

Radix Representation

Decimal 490540
Binary 1110111110000101100 (19 bits)
Octal 0o1676054
Hexadecimal 0x77C2C

Divisor Catalog (12)

1 2 4 5 10 20 24,527 49,054 98,108 122,635 245,270 490,540

Collatz Trajectory (151 steps to reach 1)

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

490,540 245,270 122,635 367,906 183,953 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113

More profiles

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