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Atlas › Integer Profiles › Node 2,686,096

2,686,096

24 × 7 × 29 × 827
Abundant Even Composite

2,686,096 factors as 2^4 × 7 × 29 × 827. Its 40 positive divisors give a proper-divisor sum of 3,474,224, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,160,320
Proper Divisor Sum 3,474,224
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2686063 ← → #2686111

Radix Representation

Decimal 2686096
Binary 1010001111110010010000 (22 bits)
Octal 0o12176220
Hexadecimal 0x28FC90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 827 1,624 1,654 3,248 3,308 5,789 6,616 11,578 13,232 23,156 23,983 46,312 47,966 92,624 95,932 167,881 191,864 335,762 383,728 671,524 1,343,048 2,686,096

Collatz Trajectory (94 steps to reach 1)

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

2,686,096 1,343,048 671,524 335,762 167,881 503,644 251,822 125,911 377,734 188,867 566,602 283,301 849,904 424,952 212,476 106,238 53,119 159,358 79,679 239,038 119,519 358,558 179,279 537,838 268,919 806,758 403,379 1,210,138 605,069 1,815,208 907,604 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476

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