2,331,004

2² × 13 × 23 × 1949

2,331,004 has digital root 4. The neighboring primes are 2330959 and 2331041; its proper-divisor sum differs from the starting integer by -75,608.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 1949

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,586,400

Proper Divisor Sum 2,255,396

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2330959 ← → #2331041

Radix Representation

Decimal	2331004
Binary	1000111001000101111100 (22 bits)
Octal	0o10710574
Hexadecimal	0x23917C

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 1,949 3,898 7,796 25,337 44,827 50,674 89,654 101,348 179,308 582,751 1,165,502 2,331,004

Collatz Trajectory (117 steps to reach 1)

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

2,331,004 1,165,502 582,751 1,748,254 874,127 2,622,382 1,311,191 3,933,574 1,966,787 5,900,362 2,950,181 8,850,544 4,425,272 2,212,636 1,106,318 553,159 1,659,478 829,739 2,489,218 1,244,609 3,733,828 1,866,914 933,457 2,800,372 1,400,186 700,093 2,100,280 1,050,140 525,070 262,535 787,606 393,803 1,181,410 590,705 1,772,116 886,058 443,029 1,329,088 664,544 332,272 166,136 83,068 41,534 20,767 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785

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