λ
Sequence Observatory

1,627,553

1627553
Deficient Odd Prime

Starting at 1,627,553, the Collatz iteration reaches 1 after 163 steps. The first transition is 4882660; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1627553
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,627,554
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1627537 ← → #1627573

Radix Representation

Decimal 1627553
Binary 110001101010110100001 (21 bits)
Octal 0o6152641
Hexadecimal 0x18D5A1

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

1,627,553 4,882,660 2,441,330 1,220,665 3,661,996 1,830,998 915,499 2,746,498 1,373,249 4,119,748 2,059,874 1,029,937 3,089,812 1,544,906 772,453 2,317,360 1,158,680 579,340 289,670 144,835 434,506 217,253 651,760 325,880 162,940 81,470 40,735 122,206 61,103 183,310 91,655 274,966 137,483 412,450 206,225 618,676 309,338 154,669 464,008 232,004 116,002 58,001 174,004 87,002 43,501 130,504 65,252 32,626 16,313 48,940 24,470 12,235 36,706 18,353 55,060 27,530 13,765 41,296 20,648 10,324

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