λ
Harmonic Matrix

4,726,533

3 × 7 × 173 × 1301
Deficient Odd Composite

4,726,533 has digital root 3. The neighboring primes are 4726499 and 4726537; its proper-divisor sum differs from the starting integer by -2,203,530.

Prime Factor Structure

Factorization String 3 × 7 × 173 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,249,536
Proper Divisor Sum 2,523,003
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4726499 ← → #4726537

Radix Representation

Decimal 4726533
Binary 10010000001111100000101 (23 bits)
Octal 0o22017405
Hexadecimal 0x481F05

Divisor Catalog (16)

1 3 7 21 173 519 1,211 1,301 3,633 3,903 9,107 27,321 225,073 675,219 1,575,511 4,726,533

Collatz Trajectory (87 steps to reach 1)

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

4,726,533 14,179,600 7,089,800 3,544,900 1,772,450 886,225 2,658,676 1,329,338 664,669 1,994,008 997,004 498,502 249,251 747,754 373,877 1,121,632 560,816 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833

More profiles

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