998,180

2² × 5 × 29 × 1721

For 998,180, the 24 positive divisors have a total of 2,169,720. Removing 998,180 leaves 1,171,540, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,169,720

Proper Divisor Sum 1,171,540

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #998167 ← → #998197

Radix Representation

Decimal	998180
Binary	11110011101100100100 (20 bits)
Octal	0o3635444
Hexadecimal	0xF3B24

Divisor Catalog (24)

1 2 4 5 10 20 29 58 116 145 290 580 1,721 3,442 6,884 8,605 17,210 34,420 49,909 99,818 199,636 249,545 499,090 998,180

Collatz Trajectory (227 steps to reach 1)

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

998,180 499,090 249,545 748,636 374,318 187,159 561,478 280,739 842,218 421,109 1,263,328 631,664 315,832 157,916 78,958 39,479 118,438 59,219 177,658 88,829 266,488 133,244 66,622 33,311 99,934 49,967 149,902 74,951 224,854 112,427 337,282 168,641 505,924 252,962 126,481 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334

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