λ
Harmonic Matrix

2,122,363

2122363
Deficient Odd Prime

2,122,363 has digital root 1. The neighboring primes are 2122349 and 2122369; its proper-divisor sum differs from the starting integer by -2,122,362.

Prime Factor Structure

Factorization String 2122363
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,122,364
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2122349 ← → #2122369

Radix Representation

Decimal 2122363
Binary 1000000110001001111011 (22 bits)
Octal 0o10061173
Hexadecimal 0x20627B

Divisor Catalog (2)

1 2,122,363

Collatz Trajectory (104 steps to reach 1)

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

2,122,363 6,367,090 3,183,545 9,550,636 4,775,318 2,387,659 7,162,978 3,581,489 10,744,468 5,372,234 2,686,117 8,058,352 4,029,176 2,014,588 1,007,294 503,647 1,510,942 755,471 2,266,414 1,133,207 3,399,622 1,699,811 5,099,434 2,549,717 7,649,152 3,824,576 1,912,288 956,144 478,072 239,036 119,518 59,759 179,278 89,639 268,918 134,459 403,378 201,689 605,068 302,534 151,267 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374

More profiles

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