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Atlas › Integer Profiles › Node 1,169,056

1,169,056

25 × 7 × 17 × 307
Abundant Even Composite

1,169,056 factors as 2^5 × 7 × 17 × 307. Its 48 positive divisors give a proper-divisor sum of 1,625,120, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,794,176
Proper Divisor Sum 1,625,120
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1169029 ← → #1169059

Radix Representation

Decimal 1169056
Binary 100011101011010100000 (21 bits)
Octal 0o4353240
Hexadecimal 0x11D6A0

Divisor Catalog (48)

1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 307 476 544 614 952 1,228 1,904 2,149 2,456 3,808 4,298 4,912 5,219 8,596 9,824 10,438 17,192 20,876 34,384 36,533 41,752 68,768 73,066 83,504 146,132 167,008 292,264 584,528 1,169,056

Collatz Trajectory (67 steps to reach 1)

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

1,169,056 584,528 292,264 146,132 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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