λ
Harmonic Matrix

2,712,251

2712251
Deficient Odd Prime

2,712,251 has digital root 2. The neighboring primes are 2712239 and 2712253; its proper-divisor sum differs from the starting integer by -2,712,250.

Prime Factor Structure

Factorization String 2712251
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,712,252
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2712239 ← → #2712253

Radix Representation

Decimal 2712251
Binary 1010010110001010111011 (22 bits)
Octal 0o12261273
Hexadecimal 0x2962BB

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

2,712,251 8,136,754 4,068,377 12,205,132 6,102,566 3,051,283 9,153,850 4,576,925 13,730,776 6,865,388 3,432,694 1,716,347 5,149,042 2,574,521 7,723,564 3,861,782 1,930,891 5,792,674 2,896,337 8,689,012 4,344,506 2,172,253 6,516,760 3,258,380 1,629,190 814,595 2,443,786 1,221,893 3,665,680 1,832,840 916,420 458,210 229,105 687,316 343,658 171,829 515,488 257,744 128,872 64,436 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478

More profiles

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