997,200

2⁴ × 3² × 5² × 277

997,200 has digital root 9. The neighboring primes are 997163 and 997201; its proper-divisor sum differs from the starting integer by 1,478,654.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 3,473,054

Proper Divisor Sum 2,475,854

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #997163 ← → #997201

Radix Representation

Decimal	997200
Binary	11110011011101010000 (20 bits)
Octal	0o3633520
Hexadecimal	0xF3750

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 277 300 360 400 450 554 600 720 831 900 1,108 1,200 1,385 1,662 1,800 2,216 2,493 2,770 3,324 3,600 4,155 4,432 4,986 5,540 6,648

Collatz Trajectory (90 steps to reach 1)

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

997,200 498,600 249,300 124,650 62,325 186,976 93,488 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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