λ
Harmonic Matrix

2,127,973

2127973
Deficient Odd Prime

2,127,973 has digital root 4. The neighboring primes are 2127971 and 2127977; its proper-divisor sum differs from the starting integer by -2,127,972.

Prime Factor Structure

Factorization String 2127973
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,127,974
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2127971 ← → #2127977

Radix Representation

Decimal 2127973
Binary 1000000111100001100101 (22 bits)
Octal 0o10074145
Hexadecimal 0x207865

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

2,127,973 6,383,920 3,191,960 1,595,980 797,990 398,995 1,196,986 598,493 1,795,480 897,740 448,870 224,435 673,306 336,653 1,009,960 504,980 252,490 126,245 378,736 189,368 94,684 47,342 23,671 71,014 35,507 106,522 53,261 159,784 79,892 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254

More profiles

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