λ
Modular Archive

324,100

22 × 52 × 7 × 463
Abundant Even Composite

The decimal integer 324,100 is 1001111001000000100 in binary (19 bits), 1171004 in octal and 4F204 in hexadecimal. Its digit sum is 10.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 805,504
Proper Divisor Sum 481,404
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #324097 ← → #324101

Radix Representation

Decimal 324100
Binary 1001111001000000100 (19 bits)
Octal 0o1171004
Hexadecimal 0x4F204

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 463 700 926 1,852 2,315 3,241 4,630 6,482 9,260 11,575 12,964 16,205 23,150 32,410 46,300 64,820 81,025 162,050 324,100

Collatz Trajectory (78 steps to reach 1)

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

324,100 162,050 81,025 243,076 121,538 60,769 182,308 91,154 45,577 136,732 68,366 34,183 102,550 51,275 153,826 76,913 230,740 115,370 57,685 173,056 86,528 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58

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