λ
Harmonic Matrix

2,714,962

2 × 313 × 4337
Deficient Even Composite

2,714,962 has digital root 4. The neighboring primes are 2714953 and 2714963; its proper-divisor sum differs from the starting integer by -1,343,528.

Prime Factor Structure

Factorization String 2 × 313 × 4337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,086,396
Proper Divisor Sum 1,371,434
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2714953 ← → #2714963

Radix Representation

Decimal 2714962
Binary 1010010110110101010010 (22 bits)
Octal 0o12266522
Hexadecimal 0x296D52

Divisor Catalog (8)

1 2 313 626 4,337 8,674 1,357,481 2,714,962

Collatz Trajectory (231 steps to reach 1)

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

2,714,962 1,357,481 4,072,444 2,036,222 1,018,111 3,054,334 1,527,167 4,581,502 2,290,751 6,872,254 3,436,127 10,308,382 5,154,191 15,462,574 7,731,287 23,193,862 11,596,931 34,790,794 17,395,397 52,186,192 26,093,096 13,046,548 6,523,274 3,261,637 9,784,912 4,892,456 2,446,228 1,223,114 611,557 1,834,672 917,336 458,668 229,334 114,667 344,002 172,001 516,004 258,002 129,001 387,004 193,502 96,751 290,254 145,127 435,382 217,691 653,074 326,537 979,612 489,806 244,903 734,710 367,355 1,102,066 551,033 1,653,100 826,550 413,275 1,239,826 619,913

More profiles

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