548,600

2³ × 5² × 13 × 211

548,600 has digital root 5. The neighboring primes are 548591 and 548623; its proper-divisor sum differs from the starting integer by 282,920.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,380,120

Proper Divisor Sum 831,520

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #548591 ← → #548623

Radix Representation

Decimal	548600
Binary	10000101111011111000 (20 bits)
Octal	0o2057370
Hexadecimal	0x85EF8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 211 260 325 422 520 650 844 1,055 1,300 1,688 2,110 2,600 2,743 4,220 5,275 5,486 8,440 10,550 10,972 13,715 21,100 21,944 27,430 42,200 54,860 68,575 109,720 137,150 274,300 548,600

Collatz Trajectory (84 steps to reach 1)

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

548,600 274,300 137,150 68,575 205,726 102,863 308,590 154,295 462,886 231,443 694,330 347,165 1,041,496 520,748 260,374 130,187 390,562 195,281 585,844 292,922 146,461 439,384 219,692 109,846 54,923 164,770 82,385 247,156 123,578 61,789 185,368 92,684 46,342 23,171 69,514 34,757 104,272 52,136 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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