λ
Sequence Observatory

7,310,627

7310627
Deficient Odd Prime

Starting at 7,310,627, the Collatz iteration reaches 1 after 59 steps. The first transition is 21931882; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7310627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,310,628
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7310621 ← → #7310651

Radix Representation

Decimal 7310627
Binary 11011111000110100100011 (23 bits)
Octal 0o33706443
Hexadecimal 0x6F8D23

Divisor Catalog (2)

1 7,310,627

Collatz Trajectory (59 steps to reach 1)

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

7,310,627 21,931,882 10,965,941 32,897,824 16,448,912 8,224,456 4,112,228 2,056,114 1,028,057 3,084,172 1,542,086 771,043 2,313,130 1,156,565 3,469,696 1,734,848 867,424 433,712 216,856 108,428 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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