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Atlas › Integer Profiles › Node 2,505,384

2,505,384

23 × 33 × 7 × 1657
Abundant Even Composite

2,505,384 factors as 2^3 × 3^3 × 7 × 1657. Its 64 positive divisors give a proper-divisor sum of 5,453,016, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,958,400
Proper Divisor Sum 5,453,016
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2505383 ← → #2505401

Radix Representation

Decimal 2505384
Binary 1001100011101010101000 (22 bits)
Octal 0o11435250
Hexadecimal 0x263AA8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1,512 1,657 3,314 4,971 6,628 9,942 11,599 13,256 14,913 19,884 23,198 29,826 34,797 39,768 44,739 46,396 59,652 69,594 89,478 92,792 104,391 119,304 139,188 178,956 208,782 278,376 313,173 357,912 417,564

Collatz Trajectory (143 steps to reach 1)

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

2,505,384 1,252,692 626,346 313,173 939,520 469,760 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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