λ
Zalai Atlas

7,312,726

2 × 3656363
Deficient Even Composite

7,312,726 has the prime decomposition 2 × 3656363. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3656363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,969,092
Proper Divisor Sum 3,656,366
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7312699 ← → #7312751

Radix Representation

Decimal 7312726
Binary 11011111001010101010110 (23 bits)
Octal 0o33712526
Hexadecimal 0x6F9556

Divisor Catalog (4)

1 2 3,656,363 7,312,726

Collatz Trajectory (111 steps to reach 1)

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

7,312,726 3,656,363 10,969,090 5,484,545 16,453,636 8,226,818 4,113,409 12,340,228 6,170,114 3,085,057 9,255,172 4,627,586 2,313,793 6,941,380 3,470,690 1,735,345 5,206,036 2,603,018 1,301,509 3,904,528 1,952,264 976,132 488,066 244,033 732,100 366,050 183,025 549,076 274,538 137,269 411,808 205,904 102,952 51,476 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291

More profiles

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