λ
Harmonic Matrix

1,500,347

1500347
Deficient Odd Prime

1,500,347 has digital root 2. The neighboring primes are 1500341 and 1500349; its proper-divisor sum differs from the starting integer by -1,500,346.

Prime Factor Structure

Factorization String 1500347
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,500,348
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1500341 ← → #1500349

Radix Representation

Decimal 1500347
Binary 101101110010010111011 (21 bits)
Octal 0o5562273
Hexadecimal 0x16E4BB

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

1,500,347 4,501,042 2,250,521 6,751,564 3,375,782 1,687,891 5,063,674 2,531,837 7,595,512 3,797,756 1,898,878 949,439 2,848,318 1,424,159 4,272,478 2,136,239 6,408,718 3,204,359 9,613,078 4,806,539 14,419,618 7,209,809 21,629,428 10,814,714 5,407,357 16,222,072 8,111,036 4,055,518 2,027,759 6,083,278 3,041,639 9,124,918 4,562,459 13,687,378 6,843,689 20,531,068 10,265,534 5,132,767 15,398,302 7,699,151 23,097,454 11,548,727 34,646,182 17,323,091 51,969,274 25,984,637 77,953,912 38,976,956 19,488,478 9,744,239 29,232,718 14,616,359 43,849,078 21,924,539 65,773,618 32,886,809 98,660,428 49,330,214 24,665,107 73,995,322

More profiles

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