λ
Harmonic Matrix

2,918,131

2918131
Deficient Odd Prime

2,918,131 has digital root 7. The neighboring primes are 2918129 and 2918137; its proper-divisor sum differs from the starting integer by -2,918,130.

Prime Factor Structure

Factorization String 2918131
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,918,132
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2918129 ← → #2918137

Radix Representation

Decimal 2918131
Binary 1011001000011011110011 (22 bits)
Octal 0o13103363
Hexadecimal 0x2C86F3

Divisor Catalog (2)

Collatz Trajectory (200 steps to reach 1)

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

2,918,131 8,754,394 4,377,197 13,131,592 6,565,796 3,282,898 1,641,449 4,924,348 2,462,174 1,231,087 3,693,262 1,846,631 5,539,894 2,769,947 8,309,842 4,154,921 12,464,764 6,232,382 3,116,191 9,348,574 4,674,287 14,022,862 7,011,431 21,034,294 10,517,147 31,551,442 15,775,721 47,327,164 23,663,582 11,831,791 35,495,374 17,747,687 53,243,062 26,621,531 79,864,594 39,932,297 119,796,892 59,898,446 29,949,223 89,847,670 44,923,835 134,771,506 67,385,753 202,157,260 101,078,630 50,539,315 151,617,946 75,808,973 227,426,920 113,713,460 56,856,730 28,428,365 85,285,096 42,642,548 21,321,274 10,660,637 31,981,912 15,990,956 7,995,478 3,997,739

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