λ
Harmonic Matrix

5,337,697

5337697
Deficient Odd Prime

5,337,697 has digital root 4. The neighboring primes are 5337691 and 5337701; its proper-divisor sum differs from the starting integer by -5,337,696.

Prime Factor Structure

Factorization String 5337697
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,337,698
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5337691 ← → #5337701

Radix Representation

Decimal 5337697
Binary 10100010111001001100001 (23 bits)
Octal 0o24271141
Hexadecimal 0x517261

Divisor Catalog (2)

Collatz Trajectory (144 steps to reach 1)

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

5,337,697 16,013,092 8,006,546 4,003,273 12,009,820 6,004,910 3,002,455 9,007,366 4,503,683 13,511,050 6,755,525 20,266,576 10,133,288 5,066,644 2,533,322 1,266,661 3,799,984 1,899,992 949,996 474,998 237,499 712,498 356,249 1,068,748 534,374 267,187 801,562 400,781 1,202,344 601,172 300,586 150,293 450,880 225,440 112,720 56,360 28,180 14,090 7,045 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650

More profiles

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