λ
Match Zalai

2,923,168

25 × 167 × 547
Deficient Even Composite

2,923,168 factors as 2^5 × 167 × 547. Its 24 positive divisors give a proper-divisor sum of 2,876,864, so this integer is deficient. The Collatz stopping time is 37 steps.

Prime Factor Structure

Factorization String 2^5 × 167 × 547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,800,032
Proper Divisor Sum 2,876,864
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2923163 ← → #2923199

Radix Representation

Decimal 2923168
Binary 1011001001101010100000 (22 bits)
Octal 0o13115240
Hexadecimal 0x2C9AA0

Divisor Catalog (24)

1 2 4 8 16 32 167 334 547 668 1,094 1,336 2,188 2,672 4,376 5,344 8,752 17,504 91,349 182,698 365,396 730,792 1,461,584 2,923,168

Collatz Trajectory (37 steps to reach 1)

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

2,923,168 1,461,584 730,792 365,396 182,698 91,349 274,048 137,024 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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