λ
Harmonic Matrix

3,114,301

3114301
Deficient Odd Prime

3,114,301 has digital root 4. The neighboring primes are 3114299 and 3114313; its proper-divisor sum differs from the starting integer by -3,114,300.

Prime Factor Structure

Factorization String 3114301
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,114,302
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3114299 ← → #3114313

Radix Representation

Decimal 3114301
Binary 1011111000010100111101 (22 bits)
Octal 0o13702475
Hexadecimal 0x2F853D

Divisor Catalog (2)

Collatz Trajectory (226 steps to reach 1)

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

3,114,301 9,342,904 4,671,452 2,335,726 1,167,863 3,503,590 1,751,795 5,255,386 2,627,693 7,883,080 3,941,540 1,970,770 985,385 2,956,156 1,478,078 739,039 2,217,118 1,108,559 3,325,678 1,662,839 4,988,518 2,494,259 7,482,778 3,741,389 11,224,168 5,612,084 2,806,042 1,403,021 4,209,064 2,104,532 1,052,266 526,133 1,578,400 789,200 394,600 197,300 98,650 49,325 147,976 73,988 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762

More profiles

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