λ
Zalai Atlas

1,721,747

101 × 17047
Deficient Odd Composite

1,721,747 has the prime decomposition 101 × 17047. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 101 × 17047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,738,896
Proper Divisor Sum 17,149
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1721729 ← → #1721749

Radix Representation

Decimal 1721747
Binary 110100100010110010011 (21 bits)
Octal 0o6442623
Hexadecimal 0x1A4593

Divisor Catalog (4)

1 101 17,047 1,721,747

Collatz Trajectory (96 steps to reach 1)

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

1,721,747 5,165,242 2,582,621 7,747,864 3,873,932 1,936,966 968,483 2,905,450 1,452,725 4,358,176 2,179,088 1,089,544 544,772 272,386 136,193 408,580 204,290 102,145 306,436 153,218 76,609 229,828 114,914 57,457 172,372 86,186 43,093 129,280 64,640 32,320 16,160 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834

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