λ
Integer Codex

2,356,213

2356213
Deficient Odd Prime

For 2,356,213, the 2 positive divisors have a total of 2,356,214. Removing 2,356,213 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2356213
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,356,214
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2356199 ← → #2356219

Radix Representation

Decimal 2356213
Binary 1000111111001111110101 (22 bits)
Octal 0o10771765
Hexadecimal 0x23F3F5

Divisor Catalog (2)

1 2,356,213

Collatz Trajectory (73 steps to reach 1)

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

2,356,213 7,068,640 3,534,320 1,767,160 883,580 441,790 220,895 662,686 331,343 994,030 497,015 1,491,046 745,523 2,236,570 1,118,285 3,354,856 1,677,428 838,714 419,357 1,258,072 629,036 314,518 157,259 471,778 235,889 707,668 353,834 176,917 530,752 265,376 132,688 66,344 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416

More profiles

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