3,123,084

2² × 3 × 317 × 821

3,123,084 has digital root 3. The neighboring primes are 3123073 and 3123089; its proper-divisor sum differs from the starting integer by 1,072,920.

Prime Factor Structure

Factorization String 2^2 × 3 × 317 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,319,088

Proper Divisor Sum 4,196,004

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3123073 ← → #3123089

Radix Representation

Decimal	3123084
Binary	1011111010011110001100 (22 bits)
Octal	0o13723614
Hexadecimal	0x2FA78C

Divisor Catalog (24)

1 2 3 4 6 12 317 634 821 951 1,268 1,642 1,902 2,463 3,284 3,804 4,926 9,852 260,257 520,514 780,771 1,041,028 1,561,542 3,123,084

Collatz Trajectory (164 steps to reach 1)

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

3,123,084 1,561,542 780,771 2,342,314 1,171,157 3,513,472 1,756,736 878,368 439,184 219,592 109,796 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94

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