360,640

2⁶ × 5 × 7² × 23

360,640 is even and not a perfect square. Its factorization is 2^6 × 5 × 7^2 × 23 and its 84 divisors sum to 1,042,416.

Prime Factor Structure

Factorization String 2^6 × 5 × 7^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,042,416

Proper Divisor Sum 681,776

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #360637 ← → #360649

Radix Representation

Decimal	360640
Binary	1011000000011000000 (19 bits)
Octal	0o1300300
Hexadecimal	0x580C0

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 64 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 320 322 368 392 448 460 490 560 644 736 784 805 920 980 1,120 1,127 1,288 1,472 1,568 1,610 1,840 1,960 2,240 2,254 2,576 3,136

Collatz Trajectory (91 steps to reach 1)

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

360,640 180,320 90,160 45,080 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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