λ
Harmonic Matrix

1,360,819

1360819
Deficient Odd Prime

1,360,819 has digital root 1. The neighboring primes are 1360811 and 1360829; its proper-divisor sum differs from the starting integer by -1,360,818.

Prime Factor Structure

Factorization String 1360819
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,360,820
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1360811 ← → #1360829

Radix Representation

Decimal 1360819
Binary 101001100001110110011 (21 bits)
Octal 0o5141663
Hexadecimal 0x14C3B3

Divisor Catalog (2)

1 1,360,819

Collatz Trajectory (186 steps to reach 1)

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

1,360,819 4,082,458 2,041,229 6,123,688 3,061,844 1,530,922 765,461 2,296,384 1,148,192 574,096 287,048 143,524 71,762 35,881 107,644 53,822 26,911 80,734 40,367 121,102 60,551 181,654 90,827 272,482 136,241 408,724 204,362 102,181 306,544 153,272 76,636 38,318 19,159 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638

More profiles

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