λ
Harmonic Matrix

7,927,163

7927163
Deficient Odd Prime

7,927,163 has digital root 8. The neighboring primes are 7927159 and 7927169; its proper-divisor sum differs from the starting integer by -7,927,162.

Prime Factor Structure

Factorization String 7927163
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,927,164
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7927159 ← → #7927169

Radix Representation

Decimal 7927163
Binary 11110001111010101111011 (23 bits)
Octal 0o36172573
Hexadecimal 0x78F57B

Divisor Catalog (2)

1 7,927,163

Collatz Trajectory (168 steps to reach 1)

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

7,927,163 23,781,490 11,890,745 35,672,236 17,836,118 8,918,059 26,754,178 13,377,089 40,131,268 20,065,634 10,032,817 30,098,452 15,049,226 7,524,613 22,573,840 11,286,920 5,643,460 2,821,730 1,410,865 4,232,596 2,116,298 1,058,149 3,174,448 1,587,224 793,612 396,806 198,403 595,210 297,605 892,816 446,408 223,204 111,602 55,801 167,404 83,702 41,851 125,554 62,777 188,332 94,166 47,083 141,250 70,625 211,876 105,938 52,969 158,908 79,454 39,727 119,182 59,591 178,774 89,387 268,162 134,081 402,244 201,122 100,561 301,684

More profiles

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