λ
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Atlas › Integer Profiles › Node 1,161,280

1,161,280

26 × 5 × 19 × 191
Abundant Even Composite

1,161,280 factors as 2^6 × 5 × 19 × 191. Its 56 positive divisors give a proper-divisor sum of 1,764,800, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 19 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,926,080
Proper Divisor Sum 1,764,800
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1161269 ← → #1161289

Radix Representation

Decimal 1161280
Binary 100011011100001000000 (21 bits)
Octal 0o4334100
Hexadecimal 0x11B840

Divisor Catalog (56)

1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 191 304 320 380 382 608 760 764 955 1,216 1,520 1,528 1,910 3,040 3,056 3,629 3,820 6,080 6,112 7,258 7,640 12,224 14,516 15,280 18,145 29,032 30,560 36,290 58,064 61,120 72,580 116,128 145,160 232,256 290,320 580,640 1,161,280

Collatz Trajectory (98 steps to reach 1)

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

1,161,280 580,640 290,320 145,160 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381

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