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Atlas › Integer Profiles › Node 4,314,310

4,314,310

2 × 5 × 7 × 11 × 13 × 431
Abundant Even Composite

4,314,310 factors as 2 × 5 × 7 × 11 × 13 × 431. Its 64 positive divisors give a proper-divisor sum of 6,136,634, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 13 × 431
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,450,944
Proper Divisor Sum 6,136,634
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4314293 ← → #4314313

Radix Representation

Decimal 4314310
Binary 10000011101010011000110 (23 bits)
Octal 0o20352306
Hexadecimal 0x41D4C6

Divisor Catalog (60 of 64)

1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 431 455 715 770 862 910 1,001 1,430 2,002 2,155 3,017 4,310 4,741 5,005 5,603 6,034 9,482 10,010 11,206 15,085 23,705 28,015 30,170 33,187 39,221 47,410 56,030 61,633 66,374 78,442 123,266 165,935 196,105 308,165 331,870 392,210 431,431

Collatz Trajectory (211 steps to reach 1)

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

4,314,310 2,157,155 6,471,466 3,235,733 9,707,200 4,853,600 2,426,800 1,213,400 606,700 303,350 151,675 455,026 227,513 682,540 341,270 170,635 511,906 255,953 767,860 383,930 191,965 575,896 287,948 143,974 71,987 215,962 107,981 323,944 161,972 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376

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