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Atlas › Integer Profiles › Node 1,164,500

1,164,500

22 × 53 × 17 × 137
Abundant Even Composite

1,164,500 factors as 2^2 × 5^3 × 17 × 137. Its 48 positive divisors give a proper-divisor sum of 1,548,028, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 17 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,712,528
Proper Divisor Sum 1,548,028
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1164497 ← → #1164503

Radix Representation

Decimal 1164500
Binary 100011100010011010100 (21 bits)
Octal 0o4342324
Hexadecimal 0x11C4D4

Divisor Catalog (48)

1 2 4 5 10 17 20 25 34 50 68 85 100 125 137 170 250 274 340 425 500 548 685 850 1,370 1,700 2,125 2,329 2,740 3,425 4,250 4,658 6,850 8,500 9,316 11,645 13,700 17,125 23,290 34,250 46,580 58,225 68,500 116,450 232,900 291,125 582,250 1,164,500

Collatz Trajectory (129 steps to reach 1)

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

1,164,500 582,250 291,125 873,376 436,688 218,344 109,172 54,586 27,293 81,880 40,940 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402 118,201 354,604 177,302 88,651 265,954

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