λ
Harmonic Matrix

6,165,701

6165701
Deficient Odd Prime

6,165,701 has digital root 8. The neighboring primes are 6165689 and 6165707; its proper-divisor sum differs from the starting integer by -6,165,700.

Prime Factor Structure

Factorization String 6165701
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,165,702
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6165689 ← → #6165707

Radix Representation

Decimal 6165701
Binary 10111100001010011000101 (23 bits)
Octal 0o27412305
Hexadecimal 0x5E14C5

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

6,165,701 18,497,104 9,248,552 4,624,276 2,312,138 1,156,069 3,468,208 1,734,104 867,052 433,526 216,763 650,290 325,145 975,436 487,718 243,859 731,578 365,789 1,097,368 548,684 274,342 137,171 411,514 205,757 617,272 308,636 154,318 77,159 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836

More profiles

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