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Atlas › Integer Profiles › Node 1,114,656

1,114,656

25 × 3 × 17 × 683
Abundant Even Composite

1,114,656 factors as 2^5 × 3 × 17 × 683. Its 48 positive divisors give a proper-divisor sum of 1,987,968, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,102,624
Proper Divisor Sum 1,987,968
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1114651 ← → #1114657

Radix Representation

Decimal 1114656
Binary 100010000001000100000 (21 bits)
Octal 0o4201040
Hexadecimal 0x110220

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 683 816 1,366 1,632 2,049 2,732 4,098 5,464 8,196 10,928 11,611 16,392 21,856 23,222 32,784 34,833 46,444 65,568 69,666 92,888 139,332 185,776 278,664 371,552 557,328 1,114,656

Collatz Trajectory (147 steps to reach 1)

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

1,114,656 557,328 278,664 139,332 69,666 34,833 104,500 52,250 26,125 78,376 39,188 19,594 9,797 29,392 14,696 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 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

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