λ
Prime Ledger

6,526,975

52 × 7 × 13 × 19 × 151
Deficient Odd Composite

6,526,975 has the prime decomposition 5^2 × 7 × 13 × 19 × 151. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 13 × 19 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,554,880
Proper Divisor Sum 4,027,905
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6526973 ← → #6526981

Radix Representation

Decimal 6526975
Binary 11000111001011111111111 (23 bits)
Octal 0o30713777
Hexadecimal 0x6397FF

Divisor Catalog (48)

1 5 7 13 19 25 35 65 91 95 133 151 175 247 325 455 475 665 755 1,057 1,235 1,729 1,963 2,275 2,869 3,325 3,775 5,285 6,175 8,645 9,815 13,741 14,345 20,083 26,425 37,297 43,225 49,075 68,705 71,725 100,415 186,485 261,079 343,525 502,075 932,425 1,305,395 6,526,975

Collatz Trajectory (116 steps to reach 1)

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

6,526,975 19,580,926 9,790,463 29,371,390 14,685,695 44,057,086 22,028,543 66,085,630 33,042,815 99,128,446 49,564,223 148,692,670 74,346,335 223,039,006 111,519,503 334,558,510 167,279,255 501,837,766 250,918,883 752,756,650 376,378,325 1,129,134,976 564,567,488 282,283,744 141,141,872 70,570,936 35,285,468 17,642,734 8,821,367 26,464,102 13,232,051 39,696,154 19,848,077 59,544,232 29,772,116 14,886,058 7,443,029 22,329,088 11,164,544 5,582,272 2,791,136 1,395,568 697,784 348,892 174,446 87,223 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386

More profiles

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