8,026,123

7 × 317 × 3617

8,026,123 has digital root 4. The neighboring primes are 8026121 and 8026129; its proper-divisor sum differs from the starting integer by -6,848,054.

Prime Factor Structure

Factorization String 7 × 317 × 3617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,204,192

Proper Divisor Sum 1,178,069

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8026121 ← → #8026129

Radix Representation

Decimal	8026123
Binary	11110100111100000001011 (23 bits)
Octal	0o36474013
Hexadecimal	0x7A780B

Divisor Catalog (8)

1 7 317 2,219 3,617 25,319 1,146,589 8,026,123

Collatz Trajectory (155 steps to reach 1)

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

8,026,123 24,078,370 12,039,185 36,117,556 18,058,778 9,029,389 27,088,168 13,544,084 6,772,042 3,386,021 10,158,064 5,079,032 2,539,516 1,269,758 634,879 1,904,638 952,319 2,856,958 1,428,479 4,285,438 2,142,719 6,428,158 3,214,079 9,642,238 4,821,119 14,463,358 7,231,679 21,695,038 10,847,519 32,542,558 16,271,279 48,813,838 24,406,919 73,220,758 36,610,379 109,831,138 54,915,569 164,746,708 82,373,354 41,186,677 123,560,032 61,780,016 30,890,008 15,445,004 7,722,502 3,861,251 11,583,754 5,791,877 17,375,632 8,687,816 4,343,908 2,171,954 1,085,977 3,257,932 1,628,966 814,483 2,443,450 1,221,725 3,665,176 1,832,588

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