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Atlas › Integer Profiles › Node 1,470,168

1,470,168

23 × 32 × 7 × 2917
Abundant Even Composite

1,470,168 factors as 2^3 × 3^2 × 7 × 2917. Its 48 positive divisors give a proper-divisor sum of 3,081,912, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,552,080
Proper Divisor Sum 3,081,912
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1470151 ← → #1470173

Radix Representation

Decimal 1470168
Binary 101100110111011011000 (21 bits)
Octal 0o5467330
Hexadecimal 0x166ED8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2,917 5,834 8,751 11,668 17,502 20,419 23,336 26,253 35,004 40,838 52,506 61,257 70,008 81,676 105,012 122,514 163,352 183,771 210,024 245,028 367,542 490,056 735,084 1,470,168

Collatz Trajectory (75 steps to reach 1)

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

1,470,168 735,084 367,542 183,771 551,314 275,657 826,972 413,486 206,743 620,230 310,115 930,346 465,173 1,395,520 697,760 348,880 174,440 87,220 43,610 21,805 65,416 32,708 16,354 8,177 24,532 12,266 6,133 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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