4,586,998

2 × 13² × 41 × 331

4,586,998 has digital root 4. The neighboring primes are 4586987 and 4587007; its proper-divisor sum differs from the starting integer by -1,518,740.

Prime Factor Structure

Factorization String 2 × 13^2 × 41 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,655,256

Proper Divisor Sum 3,068,258

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #4586987 ← → #4587007

Radix Representation

Decimal	4586998
Binary	10001011111110111110110 (23 bits)
Octal	0o21376766
Hexadecimal	0x45FDF6

Divisor Catalog (24)

1 2 13 26 41 82 169 331 338 533 662 1,066 4,303 6,929 8,606 13,571 13,858 27,142 55,939 111,878 176,423 352,846 2,293,499 4,586,998

Collatz Trajectory (193 steps to reach 1)

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

4,586,998 2,293,499 6,880,498 3,440,249 10,320,748 5,160,374 2,580,187 7,740,562 3,870,281 11,610,844 5,805,422 2,902,711 8,708,134 4,354,067 13,062,202 6,531,101 19,593,304 9,796,652 4,898,326 2,449,163 7,347,490 3,673,745 11,021,236 5,510,618 2,755,309 8,265,928 4,132,964 2,066,482 1,033,241 3,099,724 1,549,862 774,931 2,324,794 1,162,397 3,487,192 1,743,596 871,798 435,899 1,307,698 653,849 1,961,548 980,774 490,387 1,471,162 735,581 2,206,744 1,103,372 551,686 275,843 827,530 413,765 1,241,296 620,648 310,324 155,162 77,581 232,744 116,372 58,186 29,093

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