3,876,236

2² × 7 × 13 × 23 × 463

3,876,236 has digital root 8. The neighboring primes are 3876203 and 3876253; its proper-divisor sum differs from the starting integer by 978,152.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 23 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,730,624

Proper Divisor Sum 4,854,388

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3876203 ← → #3876253

Radix Representation

Decimal	3876236
Binary	1110110010010110001100 (22 bits)
Octal	0o16622614
Hexadecimal	0x3B258C

Divisor Catalog (48)

1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 463 598 644 926 1,196 1,852 2,093 3,241 4,186 6,019 6,482 8,372 10,649 12,038 12,964 21,298 24,076 42,133 42,596 74,543 84,266 138,437 149,086 168,532 276,874 298,172 553,748 969,059 1,938,118 3,876,236

Collatz Trajectory (154 steps to reach 1)

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

3,876,236 1,938,118 969,059 2,907,178 1,453,589 4,360,768 2,180,384 1,090,192 545,096 272,548 136,274 68,137 204,412 102,206 51,103 153,310 76,655 229,966 114,983 344,950 172,475 517,426 258,713 776,140 388,070 194,035 582,106 291,053 873,160 436,580 218,290 109,145 327,436 163,718 81,859 245,578 122,789 368,368 184,184 92,092 46,046 23,023 69,070 34,535 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521

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