2,598,465

3 × 5 × 211 × 821

2,598,465 has digital root 3. The neighboring primes are 2598443 and 2598503; its proper-divisor sum differs from the starting integer by -1,014,594.

Prime Factor Structure

Factorization String 3 × 5 × 211 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,182,336

Proper Divisor Sum 1,583,871

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2598443 ← → #2598503

Radix Representation

Decimal	2598465
Binary	1001111010011001000001 (22 bits)
Octal	0o11723101
Hexadecimal	0x27A641

Divisor Catalog (16)

1 3 5 15 211 633 821 1,055 2,463 3,165 4,105 12,315 173,231 519,693 866,155 2,598,465

Collatz Trajectory (156 steps to reach 1)

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

2,598,465 7,795,396 3,897,698 1,948,849 5,846,548 2,923,274 1,461,637 4,384,912 2,192,456 1,096,228 548,114 274,057 822,172 411,086 205,543 616,630 308,315 924,946 462,473 1,387,420 693,710 346,855 1,040,566 520,283 1,560,850 780,425 2,341,276 1,170,638 585,319 1,755,958 877,979 2,633,938 1,316,969 3,950,908 1,975,454 987,727 2,963,182 1,481,591 4,444,774 2,222,387 6,667,162 3,333,581 10,000,744 5,000,372 2,500,186 1,250,093 3,750,280 1,875,140 937,570 468,785 1,406,356 703,178 351,589 1,054,768 527,384 263,692 131,846 65,923 197,770 98,885

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