7,771,338

2 × 3² × 193 × 2237

7,771,338 factors as 2 × 3^2 × 193 × 2237. Its 24 positive divisors give a proper-divisor sum of 9,161,370, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 193 × 2237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,932,708

Proper Divisor Sum 9,161,370

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7771307 ← → #7771411

Radix Representation

Decimal	7771338
Binary	11101101001010011001010 (23 bits)
Octal	0o35512312
Hexadecimal	0x7694CA

Divisor Catalog (24)

1 2 3 6 9 18 193 386 579 1,158 1,737 2,237 3,474 4,474 6,711 13,422 20,133 40,266 431,741 863,482 1,295,223 2,590,446 3,885,669 7,771,338

Collatz Trajectory (93 steps to reach 1)

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

7,771,338 3,885,669 11,657,008 5,828,504 2,914,252 1,457,126 728,563 2,185,690 1,092,845 3,278,536 1,639,268 819,634 409,817 1,229,452 614,726 307,363 922,090 461,045 1,383,136 691,568 345,784 172,892 86,446 43,223 129,670 64,835 194,506 97,253 291,760 145,880 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

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