λ
Harmonic Matrix

5,417,567

5417567
Deficient Odd Prime

5,417,567 has digital root 8. The neighboring primes are 5417551 and 5417579; its proper-divisor sum differs from the starting integer by -5,417,566.

Prime Factor Structure

Factorization String 5417567
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,417,568
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5417551 ← → #5417579

Radix Representation

Decimal 5417567
Binary 10100101010101001011111 (23 bits)
Octal 0o24525137
Hexadecimal 0x52AA5F

Divisor Catalog (2)

Collatz Trajectory (87 steps to reach 1)

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

5,417,567 16,252,702 8,126,351 24,379,054 12,189,527 36,568,582 18,284,291 54,852,874 27,426,437 82,279,312 41,139,656 20,569,828 10,284,914 5,142,457 15,427,372 7,713,686 3,856,843 11,570,530 5,785,265 17,355,796 8,677,898 4,338,949 13,016,848 6,508,424 3,254,212 1,627,106 813,553 2,440,660 1,220,330 610,165 1,830,496 915,248 457,624 228,812 114,406 57,203 171,610 85,805 257,416 128,708 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955

More profiles

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