λ
Sequence Observatory

6,731,033

6731033
Deficient Odd Prime

Starting at 6,731,033, the Collatz iteration reaches 1 after 253 steps. The first transition is 20193100; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6731033
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,731,034
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6731029 ← → #6731041

Radix Representation

Decimal 6731033
Binary 11001101011010100011001 (23 bits)
Octal 0o31532431
Hexadecimal 0x66B519

Divisor Catalog (2)

1 6,731,033

Collatz Trajectory (253 steps to reach 1)

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

6,731,033 20,193,100 10,096,550 5,048,275 15,144,826 7,572,413 22,717,240 11,358,620 5,679,310 2,839,655 8,518,966 4,259,483 12,778,450 6,389,225 19,167,676 9,583,838 4,791,919 14,375,758 7,187,879 21,563,638 10,781,819 32,345,458 16,172,729 48,518,188 24,259,094 12,129,547 36,388,642 18,194,321 54,582,964 27,291,482 13,645,741 40,937,224 20,468,612 10,234,306 5,117,153 15,351,460 7,675,730 3,837,865 11,513,596 5,756,798 2,878,399 8,635,198 4,317,599 12,952,798 6,476,399 19,429,198 9,714,599 29,143,798 14,571,899 43,715,698 21,857,849 65,573,548 32,786,774 16,393,387 49,180,162 24,590,081 73,770,244 36,885,122 18,442,561 55,327,684

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