λ
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Atlas › Integer Profiles › Node 11,622,255

11,622,255

3 × 5 × 37 × 43 × 487
Deficient Odd Composite

11,622,255 factors as 3 × 5 × 37 × 43 × 487. Its 32 positive divisors give a proper-divisor sum of 7,960,209, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 43 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,582,464
Proper Divisor Sum 7,960,209
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #11622251 ← → #11622263

Radix Representation

Decimal 11622255
Binary 101100010101011101101111 (24 bits)
Octal 0o54253557
Hexadecimal 0xB1576F

Divisor Catalog (32)

1 3 5 15 37 43 111 129 185 215 487 555 645 1,461 1,591 2,435 4,773 7,305 7,955 18,019 20,941 23,865 54,057 62,823 90,095 104,705 270,285 314,115 774,817 2,324,451 3,874,085 11,622,255

Collatz Trajectory (184 steps to reach 1)

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

11,622,255 34,866,766 17,433,383 52,300,150 26,150,075 78,450,226 39,225,113 117,675,340 58,837,670 29,418,835 88,256,506 44,128,253 132,384,760 66,192,380 33,096,190 16,548,095 49,644,286 24,822,143 74,466,430 37,233,215 111,699,646 55,849,823 167,549,470 83,774,735 251,324,206 125,662,103 376,986,310 188,493,155 565,479,466 282,739,733 848,219,200 424,109,600 212,054,800 106,027,400 53,013,700 26,506,850 13,253,425 39,760,276 19,880,138 9,940,069 29,820,208 14,910,104 7,455,052 3,727,526 1,863,763 5,591,290 2,795,645 8,386,936 4,193,468 2,096,734 1,048,367 3,145,102 1,572,551 4,717,654 2,358,827 7,076,482 3,538,241 10,614,724 5,307,362 2,653,681

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