λ
Harmonic Matrix

7,267,673

7 × 167 × 6217
Deficient Odd Composite

7,267,673 has digital root 2. The neighboring primes are 7267669 and 7267717; its proper-divisor sum differs from the starting integer by -6,178,354.

Prime Factor Structure

Factorization String 7 × 167 × 6217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,356,992
Proper Divisor Sum 1,089,319
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7267669 ← → #7267717

Radix Representation

Decimal 7267673
Binary 11011101110010101011001 (23 bits)
Octal 0o33562531
Hexadecimal 0x6EE559

Divisor Catalog (8)

1 7 167 1,169 6,217 43,519 1,038,239 7,267,673

Collatz Trajectory (173 steps to reach 1)

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

7,267,673 21,803,020 10,901,510 5,450,755 16,352,266 8,176,133 24,528,400 12,264,200 6,132,100 3,066,050 1,533,025 4,599,076 2,299,538 1,149,769 3,449,308 1,724,654 862,327 2,586,982 1,293,491 3,880,474 1,940,237 5,820,712 2,910,356 1,455,178 727,589 2,182,768 1,091,384 545,692 272,846 136,423 409,270 204,635 613,906 306,953 920,860 460,430 230,215 690,646 345,323 1,035,970 517,985 1,553,956 776,978 388,489 1,165,468 582,734 291,367 874,102 437,051 1,311,154 655,577 1,966,732 983,366 491,683 1,475,050 737,525 2,212,576 1,106,288 553,144 276,572

More profiles

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