λ
Integer Codex

7,762,213

7762213
Deficient Odd Prime

For 7,762,213, the 2 positive divisors have a total of 7,762,214. Removing 7,762,213 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7762213
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,762,214
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7762207 ← → #7762229

Radix Representation

Decimal 7762213
Binary 11101100111000100100101 (23 bits)
Octal 0o35470445
Hexadecimal 0x767125

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

7,762,213 23,286,640 11,643,320 5,821,660 2,910,830 1,455,415 4,366,246 2,183,123 6,549,370 3,274,685 9,824,056 4,912,028 2,456,014 1,228,007 3,684,022 1,842,011 5,526,034 2,763,017 8,289,052 4,144,526 2,072,263 6,216,790 3,108,395 9,325,186 4,662,593 13,987,780 6,993,890 3,496,945 10,490,836 5,245,418 2,622,709 7,868,128 3,934,064 1,967,032 983,516 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234

More profiles

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