772,228

2² × 193057

772,228 factors as 2^2 × 193057. Its 6 positive divisors give a proper-divisor sum of 579,178, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 193057

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,351,406

Proper Divisor Sum 579,178

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #772207 ← → #772229

Radix Representation

Decimal	772228
Binary	10111100100010000100 (20 bits)
Octal	0o2744204
Hexadecimal	0xBC884

Divisor Catalog (6)

1 2 4 193,057 386,114 772,228

Collatz Trajectory (100 steps to reach 1)

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

772,228 386,114 193,057 579,172 289,586 144,793 434,380 217,190 108,595 325,786 162,893 488,680 244,340 122,170 61,085 183,256 91,628 45,814 22,907 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818

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