λ
Harmonic Matrix

8,379,127

8379127
Deficient Odd Prime

8,379,127 has digital root 1. The neighboring primes are 8379073 and 8379149; its proper-divisor sum differs from the starting integer by -8,379,126.

Prime Factor Structure

Factorization String 8379127
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,379,128
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8379073 ← → #8379149

Radix Representation

Decimal 8379127
Binary 11111111101101011110111 (23 bits)
Octal 0o37755367
Hexadecimal 0x7FDAF7

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,379,127 25,137,382 12,568,691 37,706,074 18,853,037 56,559,112 28,279,556 14,139,778 7,069,889 21,209,668 10,604,834 5,302,417 15,907,252 7,953,626 3,976,813 11,930,440 5,965,220 2,982,610 1,491,305 4,473,916 2,236,958 1,118,479 3,355,438 1,677,719 5,033,158 2,516,579 7,549,738 3,774,869 11,324,608 5,662,304 2,831,152 1,415,576 707,788 353,894 176,947 530,842 265,421 796,264 398,132 199,066 99,533 298,600 149,300 74,650 37,325 111,976 55,988 27,994 13,997 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860

More profiles

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