2,416,617

3² × 7 × 89 × 431

2,416,617 has the prime decomposition 3^2 × 7 × 89 × 431. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 89 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,043,520

Proper Divisor Sum 1,626,903

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2416613 ← → #2416619

Radix Representation

Decimal	2416617
Binary	1001001101111111101001 (22 bits)
Octal	0o11157751
Hexadecimal	0x24DFE9

Divisor Catalog (24)

1 3 7 9 21 63 89 267 431 623 801 1,293 1,869 3,017 3,879 5,607 9,051 27,153 38,359 115,077 268,513 345,231 805,539 2,416,617

Collatz Trajectory (143 steps to reach 1)

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

2,416,617 7,249,852 3,624,926 1,812,463 5,437,390 2,718,695 8,156,086 4,078,043 12,234,130 6,117,065 18,351,196 9,175,598 4,587,799 13,763,398 6,881,699 20,645,098 10,322,549 30,967,648 15,483,824 7,741,912 3,870,956 1,935,478 967,739 2,903,218 1,451,609 4,354,828 2,177,414 1,088,707 3,266,122 1,633,061 4,899,184 2,449,592 1,224,796 612,398 306,199 918,598 459,299 1,377,898 688,949 2,066,848 1,033,424 516,712 258,356 129,178 64,589 193,768 96,884 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329

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