λ
Integer Codex

2,493,702

2 × 32 × 31 × 41 × 109
Abundant Even Composite

For 2,493,702, the 48 positive divisors have a total of 5,765,760. Removing 2,493,702 leaves 3,272,058, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 41 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,765,760
Proper Divisor Sum 3,272,058
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2493653 ← → #2493707

Radix Representation

Decimal 2493702
Binary 1001100000110100000110 (22 bits)
Octal 0o11406406
Hexadecimal 0x260D06

Divisor Catalog (48)

1 2 3 6 9 18 31 41 62 82 93 109 123 186 218 246 279 327 369 558 654 738 981 1,271 1,962 2,542 3,379 3,813 4,469 6,758 7,626 8,938 10,137 11,439 13,407 20,274 22,878 26,814 30,411 40,221 60,822 80,442 138,539 277,078 415,617 831,234 1,246,851 2,493,702

Collatz Trajectory (205 steps to reach 1)

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

2,493,702 1,246,851 3,740,554 1,870,277 5,610,832 2,805,416 1,402,708 701,354 350,677 1,052,032 526,016 263,008 131,504 65,752 32,876 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821

More profiles

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