λ
Sequence Observatory

7,444,627

7444627
Deficient Odd Prime

Starting at 7,444,627, the Collatz iteration reaches 1 after 111 steps. The first transition is 22333882; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7444627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,444,628
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7444621 ← → #7444631

Radix Representation

Decimal 7444627
Binary 11100011001100010010011 (23 bits)
Octal 0o34314223
Hexadecimal 0x719893

Divisor Catalog (2)

1 7,444,627

Collatz Trajectory (111 steps to reach 1)

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

7,444,627 22,333,882 11,166,941 33,500,824 16,750,412 8,375,206 4,187,603 12,562,810 6,281,405 18,844,216 9,422,108 4,711,054 2,355,527 7,066,582 3,533,291 10,599,874 5,299,937 15,899,812 7,949,906 3,974,953 11,924,860 5,962,430 2,981,215 8,943,646 4,471,823 13,415,470 6,707,735 20,123,206 10,061,603 30,184,810 15,092,405 45,277,216 22,638,608 11,319,304 5,659,652 2,829,826 1,414,913 4,244,740 2,122,370 1,061,185 3,183,556 1,591,778 795,889 2,387,668 1,193,834 596,917 1,790,752 895,376 447,688 223,844 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218

More profiles

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