3,746,400

2⁵ × 3 × 5² × 7 × 223

3,746,400 has digital root 6. The neighboring primes are 3746399 and 3746453; its proper-divisor sum differs from the starting integer by 6,506,304.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 7 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,999,104

Proper Divisor Sum 10,252,704

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3746399 ← → #3746453

Radix Representation

Decimal	3746400
Binary	1110010010101001100000 (22 bits)
Octal	0o16225140
Hexadecimal	0x392A60

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 223 224 240 280 300 336 350 400 420 446 480 525 560 600 669 672 700

Collatz Trajectory (110 steps to reach 1)

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

3,746,400 1,873,200 936,600 468,300 234,150 117,075 351,226 175,613 526,840 263,420 131,710 65,855 197,566 98,783 296,350 148,175 444,526 222,263 666,790 333,395 1,000,186 500,093 1,500,280 750,140 375,070 187,535 562,606 281,303 843,910 421,955 1,265,866 632,933 1,898,800 949,400 474,700 237,350 118,675 356,026 178,013 534,040 267,020 133,510 66,755 200,266 100,133 300,400 150,200 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764

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