λ
Sequence Observatory

8,331,707

229 × 36383
Deficient Odd Composite

Starting at 8,331,707, the Collatz iteration reaches 1 after 186 steps. The first transition is 24995122; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 229 × 36383
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,368,320
Proper Divisor Sum 36,613
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8331691 ← → #8331749

Radix Representation

Decimal 8331707
Binary 11111110010000110111011 (23 bits)
Octal 0o37620673
Hexadecimal 0x7F21BB

Divisor Catalog (4)

1 229 36,383 8,331,707

Collatz Trajectory (186 steps to reach 1)

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

8,331,707 24,995,122 12,497,561 37,492,684 18,746,342 9,373,171 28,119,514 14,059,757 42,179,272 21,089,636 10,544,818 5,272,409 15,817,228 7,908,614 3,954,307 11,862,922 5,931,461 17,794,384 8,897,192 4,448,596 2,224,298 1,112,149 3,336,448 1,668,224 834,112 417,056 208,528 104,264 52,132 26,066 13,033 39,100 19,550 9,775 29,326 14,663 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114

More profiles

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