λ
Integer Codex

9,898,490

2 × 5 × 72 × 20201
Abundant Even Composite

For 9,898,490, the 24 positive divisors have a total of 20,727,252. Removing 9,898,490 leaves 10,828,762, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 20201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,727,252
Proper Divisor Sum 10,828,762
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9898481 ← → #9898519

Radix Representation

Decimal 9898490
Binary 100101110000100111111010 (24 bits)
Octal 0o45604772
Hexadecimal 0x9709FA

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 20,201 40,402 101,005 141,407 202,010 282,814 707,035 989,849 1,414,070 1,979,698 4,949,245 9,898,490

Collatz Trajectory (189 steps to reach 1)

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

9,898,490 4,949,245 14,847,736 7,423,868 3,711,934 1,855,967 5,567,902 2,783,951 8,351,854 4,175,927 12,527,782 6,263,891 18,791,674 9,395,837 28,187,512 14,093,756 7,046,878 3,523,439 10,570,318 5,285,159 15,855,478 7,927,739 23,783,218 11,891,609 35,674,828 17,837,414 8,918,707 26,756,122 13,378,061 40,134,184 20,067,092 10,033,546 5,016,773 15,050,320 7,525,160 3,762,580 1,881,290 940,645 2,821,936 1,410,968 705,484 352,742 176,371 529,114 264,557 793,672 396,836 198,418 99,209 297,628 148,814 74,407 223,222 111,611 334,834 167,417 502,252 251,126 125,563 376,690

More profiles

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