1,259,080

2³ × 5 × 31477

1,259,080 factors as 2^3 × 5 × 31477. Its 16 positive divisors give a proper-divisor sum of 1,573,940, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31477

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,833,020

Proper Divisor Sum 1,573,940

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1259077 ← → #1259081

Radix Representation

Decimal	1259080
Binary	100110011011001001000 (21 bits)
Octal	0o4633110
Hexadecimal	0x133648

Divisor Catalog (16)

1 2 4 5 8 10 20 40 31,477 62,954 125,908 157,385 251,816 314,770 629,540 1,259,080

Collatz Trajectory (173 steps to reach 1)

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

1,259,080 629,540 314,770 157,385 472,156 236,078 118,039 354,118 177,059 531,178 265,589 796,768 398,384 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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