λ
Sequence Observatory

6,753,011

73 × 92507
Deficient Odd Composite

Starting at 6,753,011, the Collatz iteration reaches 1 after 271 steps. The first transition is 20259034; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 73 × 92507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,845,592
Proper Divisor Sum 92,581
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6753001 ← → #6753013

Radix Representation

Decimal 6753011
Binary 11001110000101011110011 (23 bits)
Octal 0o31605363
Hexadecimal 0x670AF3

Divisor Catalog (4)

1 73 92,507 6,753,011

Collatz Trajectory (271 steps to reach 1)

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

6,753,011 20,259,034 10,129,517 30,388,552 15,194,276 7,597,138 3,798,569 11,395,708 5,697,854 2,848,927 8,546,782 4,273,391 12,820,174 6,410,087 19,230,262 9,615,131 28,845,394 14,422,697 43,268,092 21,634,046 10,817,023 32,451,070 16,225,535 48,676,606 24,338,303 73,014,910 36,507,455 109,522,366 54,761,183 164,283,550 82,141,775 246,425,326 123,212,663 369,637,990 184,818,995 554,456,986 277,228,493 831,685,480 415,842,740 207,921,370 103,960,685 311,882,056 155,941,028 77,970,514 38,985,257 116,955,772 58,477,886 29,238,943 87,716,830 43,858,415 131,575,246 65,787,623 197,362,870 98,681,435 296,044,306 148,022,153 444,066,460 222,033,230 111,016,615 333,049,846

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