λ
Modular Archive

4,214,213

4214213
Deficient Odd Prime

The decimal integer 4,214,213 is 10000000100110111000101 in binary (23 bits), 20046705 in octal and 404DC5 in hexadecimal. Its digit sum is 17.

Prime Factor Structure

Factorization String 4214213
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,214,214
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4214209 ← → #4214227

Radix Representation

Decimal 4214213
Binary 10000000100110111000101 (23 bits)
Octal 0o20046705
Hexadecimal 0x404DC5

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

4,214,213 12,642,640 6,321,320 3,160,660 1,580,330 790,165 2,370,496 1,185,248 592,624 296,312 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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