λ
Harmonic Matrix

716,033

716033
Deficient Odd Prime

716,033 has digital root 2. The neighboring primes are 716003 and 716063; its proper-divisor sum differs from the starting integer by -716,032.

Prime Factor Structure

Factorization String 716033
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 716,034
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #716003 ← → #716063

Radix Representation

Decimal 716033
Binary 10101110110100000001 (20 bits)
Octal 0o2566401
Hexadecimal 0xAED01

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

716,033 2,148,100 1,074,050 537,025 1,611,076 805,538 402,769 1,208,308 604,154 302,077 906,232 453,116 226,558 113,279 339,838 169,919 509,758 254,879 764,638 382,319 1,146,958 573,479 1,720,438 860,219 2,580,658 1,290,329 3,870,988 1,935,494 967,747 2,903,242 1,451,621 4,354,864 2,177,432 1,088,716 544,358 272,179 816,538 408,269 1,224,808 612,404 306,202 153,101 459,304 229,652 114,826 57,413 172,240 86,120 43,060 21,530 10,765 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757

More profiles

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