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Atlas › Integer Profiles › Node 1,339,184

1,339,184

24 × 7 × 11 × 1087
Abundant Even Composite

1,339,184 factors as 2^4 × 7 × 11 × 1087. Its 40 positive divisors give a proper-divisor sum of 1,898,704, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,237,888
Proper Divisor Sum 1,898,704
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1339157 ← → #1339187

Radix Representation

Decimal 1339184
Binary 101000110111100110000 (21 bits)
Octal 0o5067460
Hexadecimal 0x146F30

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,087 1,232 2,174 4,348 7,609 8,696 11,957 15,218 17,392 23,914 30,436 47,828 60,872 83,699 95,656 121,744 167,398 191,312 334,796 669,592 1,339,184

Collatz Trajectory (261 steps to reach 1)

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

1,339,184 669,592 334,796 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969

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