λ
Harmonic Matrix

2,914,031

23 × 31 × 61 × 67
Deficient Odd Composite

2,914,031 has digital root 2. The neighboring primes are 2914027 and 2914033; its proper-divisor sum differs from the starting integer by -2,590,174.

Prime Factor Structure

Factorization String 23 × 31 × 61 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,237,888
Proper Divisor Sum 323,857
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2914027 ← → #2914033

Radix Representation

Decimal 2914031
Binary 1011000111011011101111 (22 bits)
Octal 0o13073357
Hexadecimal 0x2C76EF

Divisor Catalog (16)

1 23 31 61 67 713 1,403 1,541 1,891 2,077 4,087 43,493 47,771 94,001 126,697 2,914,031

Collatz Trajectory (213 steps to reach 1)

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

2,914,031 8,742,094 4,371,047 13,113,142 6,556,571 19,669,714 9,834,857 29,504,572 14,752,286 7,376,143 22,128,430 11,064,215 33,192,646 16,596,323 49,788,970 24,894,485 74,683,456 37,341,728 18,670,864 9,335,432 4,667,716 2,333,858 1,166,929 3,500,788 1,750,394 875,197 2,625,592 1,312,796 656,398 328,199 984,598 492,299 1,476,898 738,449 2,215,348 1,107,674 553,837 1,661,512 830,756 415,378 207,689 623,068 311,534 155,767 467,302 233,651 700,954 350,477 1,051,432 525,716 262,858 131,429 394,288 197,144 98,572 49,286 24,643 73,930 36,965 110,896

More profiles

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