λ
Sequence Observatory

3,637,331

3637331
Deficient Odd Prime

Starting at 3,637,331, the Collatz iteration reaches 1 after 203 steps. The first transition is 10911994; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3637331
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,637,332
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3637301 ← → #3637343

Radix Representation

Decimal 3637331
Binary 1101111000000001010011 (22 bits)
Octal 0o15700123
Hexadecimal 0x378053

Divisor Catalog (2)

Collatz Trajectory (203 steps to reach 1)

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

3,637,331 10,911,994 5,455,997 16,367,992 8,183,996 4,091,998 2,045,999 6,137,998 3,068,999 9,206,998 4,603,499 13,810,498 6,905,249 20,715,748 10,357,874 5,178,937 15,536,812 7,768,406 3,884,203 11,652,610 5,826,305 17,478,916 8,739,458 4,369,729 13,109,188 6,554,594 3,277,297 9,831,892 4,915,946 2,457,973 7,373,920 3,686,960 1,843,480 921,740 460,870 230,435 691,306 345,653 1,036,960 518,480 259,240 129,620 64,810 32,405 97,216 48,608 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847

More profiles

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