3,476,772

2² × 3² × 13 × 17 × 19 × 23

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 17 × 19 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 11,007,360

Proper Divisor Sum 7,530,588

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3476761 ← → #3476783

Radix Representation

Decimal	3476772
Binary	1101010000110100100100 (22 bits)
Octal	0o15206444
Hexadecimal	0x350D24

Divisor Catalog (60 of 144)

1 2 3 4 6 9 12 13 17 18 19 23 26 34 36 38 39 46 51 52 57 68 69 76 78 92 102 114 117 138 153 156 171 204 207 221 228 234 247 276 299 306 323 342 391 414 437 442 468 494 598 612 646 663 684 741 782 828 874 884

Collatz Trajectory (190 steps to reach 1)

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

3,476,772 1,738,386 869,193 2,607,580 1,303,790 651,895 1,955,686 977,843 2,933,530 1,466,765 4,400,296 2,200,148 1,100,074 550,037 1,650,112 825,056 412,528 206,264 103,132 51,566 25,783 77,350 38,675 116,026 58,013 174,040 87,020 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676

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