4,792,167

3² × 47 × 11329

4,792,167 factors as 3^2 × 47 × 11329. Its 12 positive divisors give a proper-divisor sum of 2,277,753, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 3^2 × 47 × 11329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,069,920

Proper Divisor Sum 2,277,753

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4792159 ← → #4792169

Radix Representation

Decimal	4792167
Binary	10010010001111101100111 (23 bits)
Octal	0o22217547
Hexadecimal	0x491F67

Divisor Catalog (12)

1 3 9 47 141 423 11,329 33,987 101,961 532,463 1,597,389 4,792,167

Collatz Trajectory (206 steps to reach 1)

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

4,792,167 14,376,502 7,188,251 21,564,754 10,782,377 32,347,132 16,173,566 8,086,783 24,260,350 12,130,175 36,390,526 18,195,263 54,585,790 27,292,895 81,878,686 40,939,343 122,818,030 61,409,015 184,227,046 92,113,523 276,340,570 138,170,285 414,510,856 207,255,428 103,627,714 51,813,857 155,441,572 77,720,786 38,860,393 116,581,180 58,290,590 29,145,295 87,435,886 43,717,943 131,153,830 65,576,915 196,730,746 98,365,373 295,096,120 147,548,060 73,774,030 36,887,015 110,661,046 55,330,523 165,991,570 82,995,785 248,987,356 124,493,678 62,246,839 186,740,518 93,370,259 280,110,778 140,055,389 420,166,168 210,083,084 105,041,542 52,520,771 157,562,314 78,781,157 236,343,472

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