990,831

3 × 19 × 17383

Starting at 990,831, the Collatz iteration reaches 1 after 165 steps. The first transition is 2972494; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 17383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,390,720

Proper Divisor Sum 399,889

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #990809 ← → #990841

Radix Representation

Decimal	990831
Binary	11110001111001101111 (20 bits)
Octal	0o3617157
Hexadecimal	0xF1E6F

Divisor Catalog (8)

1 3 19 57 17,383 52,149 330,277 990,831

Collatz Trajectory (165 steps to reach 1)

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

990,831 2,972,494 1,486,247 4,458,742 2,229,371 6,688,114 3,344,057 10,032,172 5,016,086 2,508,043 7,524,130 3,762,065 11,286,196 5,643,098 2,821,549 8,464,648 4,232,324 2,116,162 1,058,081 3,174,244 1,587,122 793,561 2,380,684 1,190,342 595,171 1,785,514 892,757 2,678,272 1,339,136 669,568 334,784 167,392 83,696 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286

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