λ
Harmonic Matrix

4,884,999

3 × 7 × 37 × 6287
Deficient Odd Composite

4,884,999 has digital root 6. The neighboring primes are 4884989 and 4885007; its proper-divisor sum differs from the starting integer by -2,123,790.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 6287
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,646,208
Proper Divisor Sum 2,761,209
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #4884989 ← → #4885007

Radix Representation

Decimal 4884999
Binary 10010101000101000000111 (23 bits)
Octal 0o22505007
Hexadecimal 0x4A8A07

Divisor Catalog (16)

1 3 7 21 37 111 259 777 6,287 18,861 44,009 132,027 232,619 697,857 1,628,333 4,884,999

Collatz Trajectory (113 steps to reach 1)

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

4,884,999 14,654,998 7,327,499 21,982,498 10,991,249 32,973,748 16,486,874 8,243,437 24,730,312 12,365,156 6,182,578 3,091,289 9,273,868 4,636,934 2,318,467 6,955,402 3,477,701 10,433,104 5,216,552 2,608,276 1,304,138 652,069 1,956,208 978,104 489,052 244,526 122,263 366,790 183,395 550,186 275,093 825,280 412,640 206,320 103,160 51,580 25,790 12,895 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165

More profiles

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