λ
Harmonic Matrix

2,355,047

2355047
Deficient Odd Prime

2,355,047 has digital root 8. The neighboring primes are 2355043 and 2355079; its proper-divisor sum differs from the starting integer by -2,355,046.

Prime Factor Structure

Factorization String 2355047
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,355,048
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2355043 ← → #2355079

Radix Representation

Decimal 2355047
Binary 1000111110111101100111 (22 bits)
Octal 0o10767547
Hexadecimal 0x23EF67

Divisor Catalog (2)

Collatz Trajectory (130 steps to reach 1)

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

2,355,047 7,065,142 3,532,571 10,597,714 5,298,857 15,896,572 7,948,286 3,974,143 11,922,430 5,961,215 17,883,646 8,941,823 26,825,470 13,412,735 40,238,206 20,119,103 60,357,310 30,178,655 90,535,966 45,267,983 135,803,950 67,901,975 203,705,926 101,852,963 305,558,890 152,779,445 458,338,336 229,169,168 114,584,584 57,292,292 28,646,146 14,323,073 42,969,220 21,484,610 10,742,305 32,226,916 16,113,458 8,056,729 24,170,188 12,085,094 6,042,547 18,127,642 9,063,821 27,191,464 13,595,732 6,797,866 3,398,933 10,196,800 5,098,400 2,549,200 1,274,600 637,300 318,650 159,325 477,976 238,988 119,494 59,747 179,242 89,621

More profiles

← Previous Integer #2,355,046 Browse Full Index Next Integer #2,355,048 →