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2,103,003

34 × 7 × 3709
Deficient Odd Composite

2,103,003 factors as 3^4 × 7 × 3709. Its 20 positive divisors give a proper-divisor sum of 1,488,277, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 3709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,591,280
Proper Divisor Sum 1,488,277
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2102999 ← → #2103007

Radix Representation

Decimal 2103003
Binary 1000000001011011011011 (22 bits)
Octal 0o10013333
Hexadecimal 0x2016DB

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 3,709 11,127 25,963 33,381 77,889 100,143 233,667 300,429 701,001 2,103,003

Collatz Trajectory (166 steps to reach 1)

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

2,103,003 6,309,010 3,154,505 9,463,516 4,731,758 2,365,879 7,097,638 3,548,819 10,646,458 5,323,229 15,969,688 7,984,844 3,992,422 1,996,211 5,988,634 2,994,317 8,982,952 4,491,476 2,245,738 1,122,869 3,368,608 1,684,304 842,152 421,076 210,538 105,269 315,808 157,904 78,952 39,476 19,738 9,869 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62

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