3,100,720

2⁴ × 5 × 7³ × 113

3,100,720 is even and not a perfect square. Its factorization is 2^4 × 5 × 7^3 × 113 and its 80 divisors sum to 8,481,600.

Prime Factor Structure

Factorization String 2^4 × 5 × 7^3 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 8,481,600

Proper Divisor Sum 5,380,880

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #3100703 ← → #3100733

Radix Representation

Decimal	3100720
Binary	1011110101000000110000 (22 bits)
Octal	0o13650060
Hexadecimal	0x2F5030

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 113 140 196 226 245 280 343 392 452 490 560 565 686 784 791 904 980 1,130 1,372 1,582 1,715 1,808 1,960 2,260 2,744 3,164 3,430 3,920 3,955 4,520 5,488 5,537 6,328 6,860 7,910 9,040 11,074 12,656 13,720 15,820 22,148

Collatz Trajectory (195 steps to reach 1)

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

3,100,720 1,550,360 775,180 387,590 193,795 581,386 290,693 872,080 436,040 218,020 109,010 54,505 163,516 81,758 40,879 122,638 61,319 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097

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