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Atlas › Integer Profiles › Node 1,470,366

1,470,366

2 × 33 × 73 × 373
Abundant Even Composite

1,470,366 factors as 2 × 3^3 × 73 × 373. Its 32 positive divisors give a proper-divisor sum of 1,850,754, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 73 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,321,120
Proper Divisor Sum 1,850,754
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1470323 ← → #1470373

Radix Representation

Decimal 1470366
Binary 101100110111110011110 (21 bits)
Octal 0o5467636
Hexadecimal 0x166F9E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 73 146 219 373 438 657 746 1,119 1,314 1,971 2,238 3,357 3,942 6,714 10,071 20,142 27,229 54,458 81,687 163,374 245,061 490,122 735,183 1,470,366

Collatz Trajectory (93 steps to reach 1)

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

1,470,366 735,183 2,205,550 1,102,775 3,308,326 1,654,163 4,962,490 2,481,245 7,443,736 3,721,868 1,860,934 930,467 2,791,402 1,395,701 4,187,104 2,093,552 1,046,776 523,388 261,694 130,847 392,542 196,271 588,814 294,407 883,222 441,611 1,324,834 662,417 1,987,252 993,626 496,813 1,490,440 745,220 372,610 186,305 558,916 279,458 139,729 419,188 209,594 104,797 314,392 157,196 78,598 39,299 117,898 58,949 176,848 88,424 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328

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