λ
Modular Archive

1,707,440

24 × 5 × 7 × 3049
Abundant Even Composite

The decimal integer 1,707,440 is 110100000110110110000 in binary (21 bits), 6406660 in octal and 1A0DB0 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,538,400
Proper Divisor Sum 2,830,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1707437 ← → #1707443

Radix Representation

Decimal 1707440
Binary 110100000110110110000 (21 bits)
Octal 0o6406660
Hexadecimal 0x1A0DB0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3,049 6,098 12,196 15,245 21,343 24,392 30,490 42,686 48,784 60,980 85,372 106,715 121,960 170,744 213,430 243,920 341,488 426,860 853,720 1,707,440

Collatz Trajectory (75 steps to reach 1)

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

1,707,440 853,720 426,860 213,430 106,715 320,146 160,073 480,220 240,110 120,055 360,166 180,083 540,250 270,125 810,376 405,188 202,594 101,297 303,892 151,946 75,973 227,920 113,960 56,980 28,490 14,245 42,736 21,368 10,684 5,342 2,671 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301

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