λ
Math Directory

2,328,009

3 × 776003
Deficient Odd Composite

2,328,009 factors as 3 × 776003. Its 4 positive divisors give a proper-divisor sum of 776,007, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3 × 776003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,104,016
Proper Divisor Sum 776,007
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2327993 ← → #2328047

Radix Representation

Decimal 2328009
Binary 1000111000010111001001 (22 bits)
Octal 0o10702711
Hexadecimal 0x2385C9

Divisor Catalog (4)

1 3 776,003 2,328,009

Collatz Trajectory (73 steps to reach 1)

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

2,328,009 6,984,028 3,492,014 1,746,007 5,238,022 2,619,011 7,857,034 3,928,517 11,785,552 5,892,776 2,946,388 1,473,194 736,597 2,209,792 1,104,896 552,448 276,224 138,112 69,056 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70

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