772,189

11 × 70199

772,189 factors as 11 × 70199. Its 4 positive divisors give a proper-divisor sum of 70,211, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 11 × 70199

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 842,400

Proper Divisor Sum 70,211

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #772181 ← → #772207

Radix Representation

Decimal	772189
Binary	10111100100001011101 (20 bits)
Octal	0o2744135
Hexadecimal	0xBC85D

Divisor Catalog (4)

1 11 70,199 772,189

Collatz Trajectory (100 steps to reach 1)

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

772,189 2,316,568 1,158,284 579,142 289,571 868,714 434,357 1,303,072 651,536 325,768 162,884 81,442 40,721 122,164 61,082 30,541 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 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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