λ
Ratio Atlas

2,163,629

13 × 149 × 1117
Deficient Odd Composite

2,163,629 factors as 13 × 149 × 1117. Its 8 positive divisors give a proper-divisor sum of 184,171, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 13 × 149 × 1117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,347,800
Proper Divisor Sum 184,171
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2163613 ← → #2163653

Radix Representation

Decimal 2163629
Binary 1000010000001110101101 (22 bits)
Octal 0o10201655
Hexadecimal 0x2103AD

Divisor Catalog (8)

1 13 149 1,117 1,937 14,521 166,433 2,163,629

Collatz Trajectory (73 steps to reach 1)

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

2,163,629 6,490,888 3,245,444 1,622,722 811,361 2,434,084 1,217,042 608,521 1,825,564 912,782 456,391 1,369,174 684,587 2,053,762 1,026,881 3,080,644 1,540,322 770,161 2,310,484 1,155,242 577,621 1,732,864 866,432 433,216 216,608 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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