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Atlas › Integer Profiles › Node 6,979,210

6,979,210

2 × 5 × 7 × 179 × 557
Abundant Even Composite

6,979,210 factors as 2 × 5 × 7 × 179 × 557. Its 32 positive divisors give a proper-divisor sum of 7,484,150, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 179 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,463,360
Proper Divisor Sum 7,484,150
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6979207 ← → #6979223

Radix Representation

Decimal 6979210
Binary 11010100111111010001010 (23 bits)
Octal 0o32477212
Hexadecimal 0x6A7E8A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 179 358 557 895 1,114 1,253 1,790 2,506 2,785 3,899 5,570 6,265 7,798 12,530 19,495 38,990 99,703 199,406 498,515 697,921 997,030 1,395,842 3,489,605 6,979,210

Collatz Trajectory (98 steps to reach 1)

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

6,979,210 3,489,605 10,468,816 5,234,408 2,617,204 1,308,602 654,301 1,962,904 981,452 490,726 245,363 736,090 368,045 1,104,136 552,068 276,034 138,017 414,052 207,026 103,513 310,540 155,270 77,635 232,906 116,453 349,360 174,680 87,340 43,670 21,835 65,506 32,753 98,260 49,130 24,565 73,696 36,848 18,424 9,212 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381

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