3,646,760

2³ × 5 × 13 × 7013

3,646,760 has digital root 5. The neighboring primes are 3646759 and 3646781; its proper-divisor sum differs from the starting integer by 1,544,120.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 7013

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,837,640

Proper Divisor Sum 5,190,880

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3646759 ← → #3646781

Radix Representation

Decimal	3646760
Binary	1101111010010100101000 (22 bits)
Octal	0o15722450
Hexadecimal	0x37A528

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7,013 14,026 28,052 35,065 56,104 70,130 91,169 140,260 182,338 280,520 364,676 455,845 729,352 911,690 1,823,380 3,646,760

Collatz Trajectory (203 steps to reach 1)

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

3,646,760 1,823,380 911,690 455,845 1,367,536 683,768 341,884 170,942 85,471 256,414 128,207 384,622 192,311 576,934 288,467 865,402 432,701 1,298,104 649,052 324,526 162,263 486,790 243,395 730,186 365,093 1,095,280 547,640 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781

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