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Atlas › Integer Profiles › Node 2,531,368

2,531,368

23 × 7 × 17 × 2659
Abundant Even Composite

2,531,368 factors as 2^3 × 7 × 17 × 2659. Its 32 positive divisors give a proper-divisor sum of 3,214,232, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,745,600
Proper Divisor Sum 3,214,232
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2531293 ← → #2531369

Radix Representation

Decimal 2531368
Binary 1001101010000000101000 (22 bits)
Octal 0o11520050
Hexadecimal 0x26A028

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2,659 5,318 10,636 18,613 21,272 37,226 45,203 74,452 90,406 148,904 180,812 316,421 361,624 632,842 1,265,684 2,531,368

Collatz Trajectory (143 steps to reach 1)

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

2,531,368 1,265,684 632,842 316,421 949,264 474,632 237,316 118,658 59,329 177,988 88,994 44,497 133,492 66,746 33,373 100,120 50,060 25,030 12,515 37,546 18,773 56,320 28,160 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 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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