λ
Integer Codex

2,713,223

2713223
Deficient Odd Prime

For 2,713,223, the 2 positive divisors have a total of 2,713,224. Removing 2,713,223 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2713223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,713,224
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2713189 ← → #2713237

Radix Representation

Decimal 2713223
Binary 1010010110011010000111 (22 bits)
Octal 0o12263207
Hexadecimal 0x296687

Divisor Catalog (2)

1 2,713,223

Collatz Trajectory (94 steps to reach 1)

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

2,713,223 8,139,670 4,069,835 12,209,506 6,104,753 18,314,260 9,157,130 4,578,565 13,735,696 6,867,848 3,433,924 1,716,962 858,481 2,575,444 1,287,722 643,861 1,931,584 965,792 482,896 241,448 120,724 60,362 30,181 90,544 45,272 22,636 11,318 5,659 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216

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