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Atlas › Integer Profiles › Node 2,300,216

2,300,216

23 × 19 × 37 × 409
Abundant Even Composite

2,300,216 factors as 2^3 × 19 × 37 × 409. Its 32 positive divisors give a proper-divisor sum of 2,373,784, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 37 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,674,000
Proper Divisor Sum 2,373,784
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2300209 ← → #2300239

Radix Representation

Decimal 2300216
Binary 1000110001100100111000 (22 bits)
Octal 0o10614470
Hexadecimal 0x231938

Divisor Catalog (32)

1 2 4 8 19 37 38 74 76 148 152 296 409 703 818 1,406 1,636 2,812 3,272 5,624 7,771 15,133 15,542 30,266 31,084 60,532 62,168 121,064 287,527 575,054 1,150,108 2,300,216

Collatz Trajectory (130 steps to reach 1)

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

2,300,216 1,150,108 575,054 287,527 862,582 431,291 1,293,874 646,937 1,940,812 970,406 485,203 1,455,610 727,805 2,183,416 1,091,708 545,854 272,927 818,782 409,391 1,228,174 614,087 1,842,262 921,131 2,763,394 1,381,697 4,145,092 2,072,546 1,036,273 3,108,820 1,554,410 777,205 2,331,616 1,165,808 582,904 291,452 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570 700,285 2,100,856 1,050,428 525,214

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