λ
Harmonic Matrix

4,731,311

13 × 363947
Deficient Odd Composite

4,731,311 has digital root 2. The neighboring primes are 4731299 and 4731319; its proper-divisor sum differs from the starting integer by -4,367,350.

Prime Factor Structure

Factorization String 13 × 363947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,095,272
Proper Divisor Sum 363,961
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4731299 ← → #4731319

Radix Representation

Decimal 4731311
Binary 10010000011000110101111 (23 bits)
Octal 0o22030657
Hexadecimal 0x4831AF

Divisor Catalog (4)

1 13 363,947 4,731,311

Collatz Trajectory (100 steps to reach 1)

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

4,731,311 14,193,934 7,096,967 21,290,902 10,645,451 31,936,354 15,968,177 47,904,532 23,952,266 11,976,133 35,928,400 17,964,200 8,982,100 4,491,050 2,245,525 6,736,576 3,368,288 1,684,144 842,072 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836

More profiles

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