λ
Prime Ledger

221,999

221999
Deficient Odd Prime

221,999 has the prime decomposition 221999. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 221999
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 222,000
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #221989 ← → #222007

Radix Representation

Decimal 221999
Binary 110110001100101111 (18 bits)
Octal 0o661457
Hexadecimal 0x3632F

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

221,999 665,998 332,999 998,998 499,499 1,498,498 749,249 2,247,748 1,123,874 561,937 1,685,812 842,906 421,453 1,264,360 632,180 316,090 158,045 474,136 237,068 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452

More profiles

← Previous Integer #221,998 Browse Full Index Next Integer #222,000 →