λ
Prime Ledger

642,673

642673
Deficient Odd Prime

642,673 has the prime decomposition 642673. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 642673
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 642,674
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #642623 ← → #642683

Radix Representation

Decimal 642673
Binary 10011100111001110001 (20 bits)
Octal 0o2347161
Hexadecimal 0x9CE71

Divisor Catalog (2)

Collatz Trajectory (71 steps to reach 1)

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

642,673 1,928,020 964,010 482,005 1,446,016 723,008 361,504 180,752 90,376 45,188 22,594 11,297 33,892 16,946 8,473 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682

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