5,774,235

3 × 5 × 41² × 229

5,774,235 has digital root 6. The neighboring primes are 5774207 and 5774273; its proper-divisor sum differs from the starting integer by -2,037,510.

Prime Factor Structure

Factorization String 3 × 5 × 41^2 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,510,960

Proper Divisor Sum 3,736,725

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5774207 ← → #5774273

Radix Representation

Decimal	5774235
Binary	10110000001101110011011 (23 bits)
Octal	0o26015633
Hexadecimal	0x581B9B

Divisor Catalog (24)

1 3 5 15 41 123 205 229 615 687 1,145 1,681 3,435 5,043 8,405 9,389 25,215 28,167 46,945 140,835 384,949 1,154,847 1,924,745 5,774,235

Collatz Trajectory (77 steps to reach 1)

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

5,774,235 17,322,706 8,661,353 25,984,060 12,992,030 6,496,015 19,488,046 9,744,023 29,232,070 14,616,035 43,848,106 21,924,053 65,772,160 32,886,080 16,443,040 8,221,520 4,110,760 2,055,380 1,027,690 513,845 1,541,536 770,768 385,384 192,692 96,346 48,173 144,520 72,260 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29

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