λ
Harmonic Matrix

2,745,057

3 × 7 × 67 × 1951
Deficient Odd Composite

2,745,057 has digital root 3. The neighboring primes are 2745049 and 2745091; its proper-divisor sum differs from the starting integer by -1,242,562.

Prime Factor Structure

Factorization String 3 × 7 × 67 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,247,552
Proper Divisor Sum 1,502,495
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2745049 ← → #2745091

Radix Representation

Decimal 2745057
Binary 1010011110001011100001 (22 bits)
Octal 0o12361341
Hexadecimal 0x29E2E1

Divisor Catalog (16)

1 3 7 21 67 201 469 1,407 1,951 5,853 13,657 40,971 130,717 392,151 915,019 2,745,057

Collatz Trajectory (275 steps to reach 1)

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

2,745,057 8,235,172 4,117,586 2,058,793 6,176,380 3,088,190 1,544,095 4,632,286 2,316,143 6,948,430 3,474,215 10,422,646 5,211,323 15,633,970 7,816,985 23,450,956 11,725,478 5,862,739 17,588,218 8,794,109 26,382,328 13,191,164 6,595,582 3,297,791 9,893,374 4,946,687 14,840,062 7,420,031 22,260,094 11,130,047 33,390,142 16,695,071 50,085,214 25,042,607 75,127,822 37,563,911 112,691,734 56,345,867 169,037,602 84,518,801 253,556,404 126,778,202 63,389,101 190,167,304 95,083,652 47,541,826 23,770,913 71,312,740 35,656,370 17,828,185 53,484,556 26,742,278 13,371,139 40,113,418 20,056,709 60,170,128 30,085,064 15,042,532 7,521,266 3,760,633

More profiles

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