λ
Sequence Observatory

8,318,017

157 × 52981
Deficient Odd Composite

Starting at 8,318,017, the Collatz iteration reaches 1 after 160 steps. The first transition is 24954052; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 157 × 52981
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,371,156
Proper Divisor Sum 53,139
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8317999 ← → #8318027

Radix Representation

Decimal 8318017
Binary 11111101110110001000001 (23 bits)
Octal 0o37566101
Hexadecimal 0x7EEC41

Divisor Catalog (4)

1 157 52,981 8,318,017

Collatz Trajectory (160 steps to reach 1)

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

8,318,017 24,954,052 12,477,026 6,238,513 18,715,540 9,357,770 4,678,885 14,036,656 7,018,328 3,509,164 1,754,582 877,291 2,631,874 1,315,937 3,947,812 1,973,906 986,953 2,960,860 1,480,430 740,215 2,220,646 1,110,323 3,330,970 1,665,485 4,996,456 2,498,228 1,249,114 624,557 1,873,672 936,836 468,418 234,209 702,628 351,314 175,657 526,972 263,486 131,743 395,230 197,615 592,846 296,423 889,270 444,635 1,333,906 666,953 2,000,860 1,000,430 500,215 1,500,646 750,323 2,250,970 1,125,485 3,376,456 1,688,228 844,114 422,057 1,266,172 633,086 316,543

More profiles

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