λ
Integer Codex

2,570,490

2 × 32 × 5 × 134
Abundant Even Composite

For 2,570,490, the 60 positive divisors have a total of 7,240,194. Removing 2,570,490 leaves 4,669,704, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13^4
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,240,194
Proper Divisor Sum 4,669,704
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2570471 ← → #2570507

Radix Representation

Decimal 2570490
Binary 1001110011100011111010 (22 bits)
Octal 0o11634372
Hexadecimal 0x2738FA

Divisor Catalog (60)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1,014 1,170 1,521 1,690 2,197 2,535 3,042 4,394 5,070 6,591 7,605 10,985 13,182 15,210 19,773 21,970 28,561 32,955 39,546 57,122 65,910 85,683 98,865 142,805 171,366 197,730 257,049 285,610 428,415 514,098 856,830 1,285,245 2,570,490

Collatz Trajectory (99 steps to reach 1)

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

2,570,490 1,285,245 3,855,736 1,927,868 963,934 481,967 1,445,902 722,951 2,168,854 1,084,427 3,253,282 1,626,641 4,879,924 2,439,962 1,219,981 3,659,944 1,829,972 914,986 457,493 1,372,480 686,240 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

More profiles

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