2,635,200

2⁶ × 3³ × 5² × 61

2,635,200 has digital root 9. The neighboring primes are 2635189 and 2635229; its proper-divisor sum differs from the starting integer by 4,493,360.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 9,763,760

Proper Divisor Sum 7,128,560

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2635189 ← → #2635229

Radix Representation

Decimal	2635200
Binary	1010000011010111000000 (22 bits)
Octal	0o12032700
Hexadecimal	0x2835C0

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 90 96 100 108 120 122 135 144 150 160 180 183 192 200 216 225 240 244 270 288 300 305 320 360 366 400 432 450 480

Collatz Trajectory (156 steps to reach 1)

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

2,635,200 1,317,600 658,800 329,400 164,700 82,350 41,175 123,526 61,763 185,290 92,645 277,936 138,968 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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