λ
Harmonic Matrix

8,247,127

7 × 1178161
Deficient Odd Composite

8,247,127 has digital root 4. The neighboring primes are 8247103 and 8247199; its proper-divisor sum differs from the starting integer by -7,068,958.

Prime Factor Structure

Factorization String 7 × 1178161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,425,296
Proper Divisor Sum 1,178,169
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8247103 ← → #8247199

Radix Representation

Decimal 8247127
Binary 11111011101011101010111 (23 bits)
Octal 0o37353527
Hexadecimal 0x7DD757

Divisor Catalog (4)

1 7 1,178,161 8,247,127

Collatz Trajectory (106 steps to reach 1)

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

8,247,127 24,741,382 12,370,691 37,112,074 18,556,037 55,668,112 27,834,056 13,917,028 6,958,514 3,479,257 10,437,772 5,218,886 2,609,443 7,828,330 3,914,165 11,742,496 5,871,248 2,935,624 1,467,812 733,906 366,953 1,100,860 550,430 275,215 825,646 412,823 1,238,470 619,235 1,857,706 928,853 2,786,560 1,393,280 696,640 348,320 174,160 87,080 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728

More profiles

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