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Atlas › Integer Profiles › Node 3,370,840

3,370,840

23 × 5 × 11 × 47 × 163
Abundant Even Composite

3,370,840 factors as 2^3 × 5 × 11 × 47 × 163. Its 64 positive divisors give a proper-divisor sum of 5,130,920, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 47 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,501,760
Proper Divisor Sum 5,130,920
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3370831 ← → #3370841

Radix Representation

Decimal 3370840
Binary 1100110110111101011000 (22 bits)
Octal 0o14667530
Hexadecimal 0x336F58

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 163 188 220 235 326 376 440 470 517 652 815 940 1,034 1,304 1,630 1,793 1,880 2,068 2,585 3,260 3,586 4,136 5,170 6,520 7,172 7,661 8,965 10,340 14,344 15,322 17,930 20,680 30,644 35,860 38,305 61,288 71,720 76,610 84,271 153,220 168,542 306,440 337,084 421,355

Collatz Trajectory (146 steps to reach 1)

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

3,370,840 1,685,420 842,710 421,355 1,264,066 632,033 1,896,100 948,050 474,025 1,422,076 711,038 355,519 1,066,558 533,279 1,599,838 799,919 2,399,758 1,199,879 3,599,638 1,799,819 5,399,458 2,699,729 8,099,188 4,049,594 2,024,797 6,074,392 3,037,196 1,518,598 759,299 2,277,898 1,138,949 3,416,848 1,708,424 854,212 427,106 213,553 640,660 320,330 160,165 480,496 240,248 120,124 60,062 30,031 90,094 45,047 135,142 67,571 202,714 101,357 304,072 152,036 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284

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