λ
Prime Ledger

21,629

43 × 503
Deficient Odd Composite

21,629 has the prime decomposition 43 × 503. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 22,176
Proper Divisor Sum 547
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #21617 ← → #21647

Radix Representation

Decimal 21629
Binary 101010001111101 (15 bits)
Octal 0o52175
Hexadecimal 0x547D

Divisor Catalog (4)

1 43 503 21,629

Collatz Trajectory (69 steps to reach 1)

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

21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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