λ
Harmonic Matrix

4,980,324

22 × 3 × 173 × 2399
Abundant Even Composite

4,980,324 has digital root 3. The neighboring primes are 4980323 and 4980331; its proper-divisor sum differs from the starting integer by 1,732,152.

Prime Factor Structure

Factorization String 2^2 × 3 × 173 × 2399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,692,800
Proper Divisor Sum 6,712,476
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4980323 ← → #4980331

Radix Representation

Decimal 4980324
Binary 10010111111111001100100 (23 bits)
Octal 0o22777144
Hexadecimal 0x4BFE64

Divisor Catalog (24)

1 2 3 4 6 12 173 346 519 692 1,038 2,076 2,399 4,798 7,197 9,596 14,394 28,788 415,027 830,054 1,245,081 1,660,108 2,490,162 4,980,324

Collatz Trajectory (175 steps to reach 1)

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

4,980,324 2,490,162 1,245,081 3,735,244 1,867,622 933,811 2,801,434 1,400,717 4,202,152 2,101,076 1,050,538 525,269 1,575,808 787,904 393,952 196,976 98,488 49,244 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

More profiles

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