6,765,213

3 × 7 × 13 × 24781

6,765,213 factors as 3 × 7 × 13 × 24781. Its 16 positive divisors give a proper-divisor sum of 4,337,123, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 24781

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,102,336

Proper Divisor Sum 4,337,123

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6765211 ← → #6765217

Radix Representation

Decimal	6765213
Binary	11001110011101010011101 (23 bits)
Octal	0o31635235
Hexadecimal	0x673A9D

Divisor Catalog (16)

1 3 7 13 21 39 91 273 24,781 74,343 173,467 322,153 520,401 966,459 2,255,071 6,765,213

Collatz Trajectory (134 steps to reach 1)

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

6,765,213 20,295,640 10,147,820 5,073,910 2,536,955 7,610,866 3,805,433 11,416,300 5,708,150 2,854,075 8,562,226 4,281,113 12,843,340 6,421,670 3,210,835 9,632,506 4,816,253 14,448,760 7,224,380 3,612,190 1,806,095 5,418,286 2,709,143 8,127,430 4,063,715 12,191,146 6,095,573 18,286,720 9,143,360 4,571,680 2,285,840 1,142,920 571,460 285,730 142,865 428,596 214,298 107,149 321,448 160,724 80,362 40,181 120,544 60,272 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154

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