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Atlas › Integer Profiles › Node 7,214,120

7,214,120

23 × 5 × 17 × 1032
Abundant Even Composite

7,214,120 factors as 2^3 × 5 × 17 × 103^2. Its 48 positive divisors give a proper-divisor sum of 10,140,940, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 103^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,355,060
Proper Divisor Sum 10,140,940
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7214101 ← → #7214131

Radix Representation

Decimal 7214120
Binary 11011100001010000101000 (23 bits)
Octal 0o33412050
Hexadecimal 0x6E1428

Divisor Catalog (48)

1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 412 515 680 824 1,030 1,751 2,060 3,502 4,120 7,004 8,755 10,609 14,008 17,510 21,218 35,020 42,436 53,045 70,040 84,872 106,090 180,353 212,180 360,706 424,360 721,412 901,765 1,442,824 1,803,530 3,607,060 7,214,120

Collatz Trajectory (235 steps to reach 1)

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

7,214,120 3,607,060 1,803,530 901,765 2,705,296 1,352,648 676,324 338,162 169,081 507,244 253,622 126,811 380,434 190,217 570,652 285,326 142,663 427,990 213,995 641,986 320,993 962,980 481,490 240,745 722,236 361,118 180,559 541,678 270,839 812,518 406,259 1,218,778 609,389 1,828,168 914,084 457,042 228,521 685,564 342,782 171,391 514,174 257,087 771,262 385,631 1,156,894 578,447 1,735,342 867,671 2,603,014 1,301,507 3,904,522 1,952,261 5,856,784 2,928,392 1,464,196 732,098 366,049 1,098,148 549,074 274,537

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