λ
Sequence Observatory

6,751,903

23 × 43 × 6827
Deficient Odd Composite

Starting at 6,751,903, the Collatz iteration reaches 1 after 209 steps. The first transition is 20255710; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 43 × 6827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,210,368
Proper Divisor Sum 458,465
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6751891 ← → #6751909

Radix Representation

Decimal 6751903
Binary 11001110000011010011111 (23 bits)
Octal 0o31603237
Hexadecimal 0x67069F

Divisor Catalog (8)

1 23 43 989 6,827 157,021 293,561 6,751,903

Collatz Trajectory (209 steps to reach 1)

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

6,751,903 20,255,710 10,127,855 30,383,566 15,191,783 45,575,350 22,787,675 68,363,026 34,181,513 102,544,540 51,272,270 25,636,135 76,908,406 38,454,203 115,362,610 57,681,305 173,043,916 86,521,958 43,260,979 129,782,938 64,891,469 194,674,408 97,337,204 48,668,602 24,334,301 73,002,904 36,501,452 18,250,726 9,125,363 27,376,090 13,688,045 41,064,136 20,532,068 10,266,034 5,133,017 15,399,052 7,699,526 3,849,763 11,549,290 5,774,645 17,323,936 8,661,968 4,330,984 2,165,492 1,082,746 541,373 1,624,120 812,060 406,030 203,015 609,046 304,523 913,570 456,785 1,370,356 685,178 342,589 1,027,768 513,884 256,942

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