λ
Harmonic Matrix

2,174,731

13 × 131 × 1277
Deficient Odd Composite

2,174,731 has digital root 7. The neighboring primes are 2174729 and 2174741; its proper-divisor sum differs from the starting integer by -1,987,718.

Prime Factor Structure

Factorization String 13 × 131 × 1277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,361,744
Proper Divisor Sum 187,013
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2174729 ← → #2174741

Radix Representation

Decimal 2174731
Binary 1000010010111100001011 (22 bits)
Octal 0o10227413
Hexadecimal 0x212F0B

Divisor Catalog (8)

1 13 131 1,277 1,703 16,601 167,287 2,174,731

Collatz Trajectory (210 steps to reach 1)

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

2,174,731 6,524,194 3,262,097 9,786,292 4,893,146 2,446,573 7,339,720 3,669,860 1,834,930 917,465 2,752,396 1,376,198 688,099 2,064,298 1,032,149 3,096,448 1,548,224 774,112 387,056 193,528 96,764 48,382 24,191 72,574 36,287 108,862 54,431 163,294 81,647 244,942 122,471 367,414 183,707 551,122 275,561 826,684 413,342 206,671 620,014 310,007 930,022 465,011 1,395,034 697,517 2,092,552 1,046,276 523,138 261,569 784,708 392,354 196,177 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526 82,763

More profiles

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