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Atlas › Integer Profiles › Node 3,604,160

3,604,160

26 × 5 × 7 × 1609
Abundant Even Composite

3,604,160 factors as 2^6 × 5 × 7 × 1609. Its 56 positive divisors give a proper-divisor sum of 6,210,400, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,814,560
Proper Divisor Sum 6,210,400
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3604157 ← → #3604163

Radix Representation

Decimal 3604160
Binary 1101101111111011000000 (22 bits)
Octal 0o15577300
Hexadecimal 0x36FEC0

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 1,609 2,240 3,218 6,436 8,045 11,263 12,872 16,090 22,526 25,744 32,180 45,052 51,488 56,315 64,360 90,104 102,976 112,630 128,720 180,208 225,260 257,440 360,416 450,520 514,880 720,832 901,040 1,802,080 3,604,160

Collatz Trajectory (234 steps to reach 1)

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

3,604,160 1,802,080 901,040 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861

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